A. M. Mathai

Q: What Schools Are Affiliated With A. M. Mathai

A. M. Mathai is affiliated with the following schools: McGill University, University of Kerala, Centre for Mathematical Sciences , University of Toronto

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A. M. Mathai

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Mathematics

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According to Wikipedia, Arakaparampil Mathai "Arak" Mathai is an Indian mathematician who has worked in Statistics, Applied Analysis, Applications of special functions and Astrophysics. Mathai established the Centre for Mathematical Sciences, Palai, Kerala, India.

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A. M. Mathai's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Mittag-Leffler Functions and Their Applications (2009) (733)
The H-Function: Theory and Applications (2009) (709)
The H-function with applications in statistics and other disciplines (1978) (640)
Quadratic forms in random variables : theory and applications (1992) (567)
Special Functions for Applied Scientists (2008) (422)
Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences (1973) (391)
Quadratic forms in random variables (1992) (390)
A handbook of generalized special functions for statistical and physical sciences (1993) (331)
The H-Function (2010) (285)
Jacobians of matrix transformations and functions of matrix argument (1997) (274)
The H-Function with Applications in Statistics and Other Disciplines. (1981) (189)
On generalized fractional kinetic equations (2004) (182)
On fractional kinetic equations (2002) (172)
A pathway to matrix-variate gamma and normal densities (2005) (168)
The fractional kinetic equation and thermonuclear functions (2000) (159)
Pathway model, superstatistics, Tsallis statistics, and a generalized measure of entropy (2006) (149)
An Introduction to Geometrical Probability: Distributional Aspects with Applications (1999) (140)
Storage capacity of a dam with gamma type inputs (1982) (133)
On Thermonuclear Reaction Rates (1996) (117)
Unified Fractional Kinetic Equation and a Fractional Diffusion Equation (2004) (116)
Fractional Reaction-Diffusion Equations (2006) (100)
Bilinear Forms and Zonal Polynomials (1995) (85)
Reaction-Diffusion Systems and Nonlinear Waves (2006) (82)
On a multivariate gamma (1991) (79)
Solution of Generalized Fractional Reaction-Diffusion Equations (2006) (78)
Basic Concepts in Information Theory and Statistics: Axiomatic Foundations and Applications (1975) (71)
Further solutions of fractional reaction-diffusion equations in terms of the H-function (2007) (65)
On generalized distributions and pathways (2008) (58)
Modern problems in nuclear and neutrino astrophysics (1988) (53)
Constructing the sunflower head (1974) (47)
Random points associated with rectangles (1999) (43)
On noncentral generalized Laplacianness of quadratic forms in normal variables (1993) (43)
Solutions of certain fractional kinetic equations and a fractional diffusion equation (2007) (42)
Characterizations of the normal probability law (1981) (39)
Products and ratios of generalized gamma variates (1972) (38)
SOME PROPERTIES OF MITTAG-LEFFLER FUNCTIONS AND MATRIX-VARIATE ANALOGUES: A STATISTICAL PERSPECTIVE (2010) (36)
A Certain Class of Laplace Transforms with Applications to Reaction and Reaction-Diffusion Equations (2006) (34)
On generalized entropy measures and pathways (2007) (32)
On a generalized hypergeometric distribution (1967) (31)
The Exact Distribution of Wilks' Criterion (1971) (30)
Some complex matrix-variate statistical distributions on rectangular matrices (2005) (28)
A heuristic remark on the periodic variation in the number of solar neutrinos detected on Earth (1995) (28)
On a Generalized Entropy Measure Leading to the Pathway Model with a Preliminary Application to Solar Neutrino Data (2013) (27)
Moments of the trace of a noncentral wishart matrix (1980) (26)
Exact percentage points for testing independence (1979) (25)
Astrophysical thermonuclear functions for Boltzmann–Gibbs statistics and Tsallis statistics (2004) (25)
On a Conjecture in Geometric Probability Regarding Asymptotic Normality of a Random Simplex (1982) (24)
Enumeration of almost cubic maps (1972) (24)
The residual effect of a growth‐decay mechanism and the distributions of covariance structures (1993) (24)
Order statistics from a logistic distribution and applications to survival and reliability analysis (2003) (24)
On the H -Function With Applications (2010) (23)
Boltzmann-Gibbs Entropy Versus Tsallis Entropy: Recent Contributions to Resolving the Argument of Einstein Concerning “Neither Herr Boltzmann nor Herr Planck has Given a Definition of W”? (2004) (22)
Solutions of fractional reaction-diffusion equations in terms of Mittag-Leffler functions (2007) (22)
DISTRIBUTION OF A PRODUCT AND THE STRUCTURAL SET UP OF DENSITIES (1969) (22)
Appell's and Humbert's functions of matrix arguments (1993) (22)
Probability and Statistics (1978) (21)
Jacobians of matrix transformations (1997) (21)
Astrophysical thermonuclear functions (1993) (20)
Random p-content of a p-parallelotope in Euclidean n-space (1999) (20)
Mittag-Leffler functions to pathway model to Tsallis statistics (2009) (18)
Further results on the trace of a noncentral wishart matrix (1982) (17)
On nuclear reaction rate theory (1984) (17)
A pathway from Bayesian statistical analysis to superstatistics (2010) (17)
On linear combinations of independent exponential variables (1983) (16)
Review of mathematical techniques applicable in astrophysical reaction rate theory (2002) (16)
Some results on functions of matrix argument (1978) (16)
Fractional integral operators involving many matrix variables (2014) (16)
Some results on functions of matrix argument (1978) (16)
On the distribution of the likelihood ratio criterion for testing linear hypotheses on regression coefficients (1971) (16)
An Expansion of MEIJER's G‐Function in the Logarithmic Case with Applications (1971) (15)
Analysis of Solar Neutrino Data from Super-Kamiokande I and II (2014) (15)
A few remarks about some recent articles on the exact distributions of multivariate test criteria: I (1973) (14)
Applications in Statistics (2010) (13)
Fractional integral operators in the complex matrix variate case (2013) (12)
Computational solutions of unified fractional reaction-diffusion equations with composite fractional time derivative (2012) (12)
Matrix-variate statistical distributions and fractional calculus (2010) (12)
Distance between random points in a cube (1999) (12)
A new algorithm for nonlinear least squares (1996) (12)
Space-Time Fractional Reaction-Diffusion Equations Associated with a Generalized Riemann-Liouville Fractional Derivative (2014) (12)
On the linear combinations of stochastic variables (1973) (11)
Erdélyi–Kober Fractional Calculus: From a Statistical Perspective, Inspired by Solar Neutrino Physics (2018) (11)
Matrix Methods and Fractional Calculus (2017) (11)
The exact non-central distribution of the generalized variance (1972) (11)
Erdélyi-Kober fractional integral operators from a statistical perspective (I) (2013) (10)
Analytic Representations of Thermonuclear Reaction Rates (1986) (10)
Analysis of Solar Neutrino Data from SuperKamiokande I and II: Back to the Solar Neutrino Problem (2012) (10)
Random volumes under a general matrix-variate model (2007) (10)
Distribution of the canonical correlation matrix (1981) (10)
Fractional operators in the matrix variate case (2013) (10)
Tests of Statistical Hypotheses (1977) (10)
Proceedings of the third UN/ESA/NASA Workshop on the International Heliophysical Year 2007 and basic space science : National Astronomical Observatory of Japan (2010) (10)
Computational Solutions of Distributed Order Reaction-Diffusion Systems Associated with Riemann-Liouville Derivatives (2012) (9)
On bilinear forms in normal variables (1992) (9)
On q-logistic and related models (2006) (9)
The exact distribution of Votaw's criteria (1970) (9)
Fractional integrals in the matrix-variate cases and connection to statistical distributions (2009) (9)
Distributed order reaction-diffusion systems associated with Caputo derivatives (2011) (9)
Pollution by vehicular travels from the suburbs to the city core (1998) (9)
Pathway parameter and thermonuclear functions (2007) (9)
On the non-null distributions of test statistics connected with exponential populations (1979) (9)
10 Introduction to fractional calculus (2017) (8)
Generalized Kratzel Integral and Associated Statistical Densities (2012) (8)
On a random convex hull in an n-ball (1983) (8)
Gravitational instability in a multicomponent cosmological medium (1988) (8)
Pathway Model and Nonextensive Statistical Mechanics (2010) (8)
Analytic representations of modified non-resonant thermonuclear reaction rates (1986) (8)
On the Nuclear Energy Generation Rate in a Simple Analytic Stellar Model (1984) (7)
Pollution by vehicular travels from satellite townships to the city (1999) (7)
The Maxwell - Boltzmannian Approach to the Nuclear Reaction Rate Theory (1985) (7)
Generalized Measure of Entropy, Mathai's Distributional Pathway Model, and Tsallis Statistics (2006) (7)
On the distribution of order statistics from generalized logistic samples (2004) (7)
Multivariate and matrix-variate analogues of Maxwell–Boltzmann and Raleigh densities (2017) (7)
Analytic results for screened non-resonant nuclear reaction rates (1986) (7)
Solar structure in terms of Gauss' hypergeometric function (1995) (7)
A Pathway Idea for Model Building. (2013) (7)
Fractional differential operators in the complex matrix-variate case (2015) (7)
Fractional and Multivariable Calculus (2017) (7)
An axiomatic foundation for a multivariate measure of affinity among a number of distributions (1973) (7)
A short table of the generalized hypergeometric distribution (1969) (6)
On Products and Ratios of Three or More Generalized Gamma Variables (2016) (6)
On a system of differential equations connected with the gravitational instability of a multicomponent medium in Newtonian cosmology (1989) (6)
Hypergeometric functions of many matrix variables and distributions of generalized quadratic forms (1996) (6)
SOME PROPERTIES OF MATRIX-VARIATE LAPLACE TRANSFORMS AND MATRIX-VARIATE WHITTAKER FUNCTIONS (1997) (5)
Distributions of Random Volumes without Using Integral Geometry Techniques (2000) (5)
Analytical Results Connecting Stellar Structure Parameters and Neutrino Fluxes (1987) (5)
Fractional Calculus and Special Functions (2018) (5)
Stochastic Processes via the Pathway Model (2014) (5)
Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation (2010) (5)
United Nations Basic Space Science Initiative (UNBSSI) 1991-2012 and Beyond (2015) (5)
Computable Solutions of Fractional Reaction-Diffusion Equations Associated with Generalized Riemann-Liouville Fractional Derivatives of Fractional Orders (2015) (4)
A simple derivation on the chi-square approximation of Pearson's statistic (1996) (4)
Functions of Matrix Argument (2010) (4)
On linear functions of certain noncentral versions of independent gamma variables (1992) (4)
THE non‐null distribution of the likelihood ratio criterion for testing the hypothesis that the covariance matrix is diagonal (1977) (4)
Probability and Statistics: A Course for Physicists and Engineers (2017) (4)
The United Nations Basic Space Science Initiative: the TRIPOD concept (2006) (4)
Various representations of a generalized hypergeometric function through statistical techniques (1984) (4)
Solar nuclear energy generation and the chlorine solar neutrino experiment (1994) (4)
Evaluation of matrix-variate gamma and beta integrals as multiple integrals and Kober fractional integral operators in the complex matrix variate case (2014) (4)
Distributions having the gamma properties (1968) (4)
Space Science and Technology Education, Teaching, Research (2020) (4)
A whittaker function of matrix argument (1998) (4)
On gravitational instability in a multi-component cosmological medium† (1991) (3)
Analytic stellar structure (1992) (3)
The distribution and the exact percentage points for Wilks'Lmvc criterion (1979) (3)
Linear Algebra: A Course for Physicists and Engineers (2017) (3)
Sampling distributions under missing values (1966) (3)
Recent Developments and Recent Applications in Statistics and Astrophysics (2005) (3)
On the Structural Properties of the Conditional Distributions (1967) (3)
Extensions of an Euler's Integral Through Statistical Techniques (1971) (3)
Analogues of reliability analysis for matrix-variate cases (2017) (3)
Characterizations of the Multivariate Normal Distribution Using Regression Properties (1972) (3)
On fractional moments of quadratic expressions in normal variables1 (1991) (3)
Characterization of Matusita's measure of affinity (1972) (3)
Particular cases of Meijer's G-function (1973) (3)
An analytic approach to the connection between stellar structure parameters and the neutrino emission rate in a simple stellar model (1986) (3)
Structure of the Universe (1996) (2)
Meijer's G-function (1973) (2)
A note on the linear stellar model (1987) (2)
An Interesting Extension of the Dirichlet Model (2017) (2)
Some Characterizations of the One-Parameter Family of Probability Distributions (1966) (2)
Distributions of Test Statistics: Exact and Asymptotic, Null and Non-Null. Methods/Comparisons/Research Frontiers. (1990) (2)
Computational aspects of the gravitational instability problem for a multicomponent cosmological medium (1993) (2)
Lie Theory and Special Functions (2018) (2)
A Versatile Integral in Physics and Astronomy and Fox's H-Function (2019) (2)
The exact distributions and the exact percentage points for testing equality of variances in independent normal populations (1979) (2)
M-convolutions of products and ratios, statistical distributions and fractional calculus (2016) (2)
Fractional Calculus and Fractional Differential Equations (2019) (2)
A generalized distribution for inter-live birth interval (1975) (2)
The resonant thermonuclear reaction rate (1986) (2)
60 47 v 1 2 2 Ju n 20 04 UNIFIED FRACTIONAL KINETIC EQUATION AND A FRACTIONAL DIFFUSION (2022) (2)
Some properties of complex matrix-variate generalized Dirichlet integrals (2005) (2)
On entropic, distributional, and differential pathways (2007) (2)
Entropy Optimization, Maxwell–Boltzmann, and Rayleigh Distributions (2021) (2)
Mellin convolutions, statistical distributions and fractional calculus (2018) (2)
United Nations Education Program in Space Science and Technology 1988-2018 (2019) (2)
Applications of the concepts of affinity and distance to population problems (1974) (2)
The exact distribution of a criterion for testing the hypothesis that the covariance matrix is diagonal (1972) (2)
A queueing model for reciprocity failure in the photographic grain (1986) (2)
The exact distribution of the likelihood ratio criterion for testing the equality of diagonal elements given that the covariance matrix is diagonal (1972) (2)
Mathematical Aspects of Krätzel Integral and Krätzel Transform (2020) (2)
Multivariate Statistical Analysis in the Real and Complex Domains (2022) (1)
Analysis of variance (1977) (1)
Analytic solution to the problem of nuclear energy generation rate in a simple stellar model (1986) (1)
Computable solutions of fractional partial differential equations related to reaction-diffusion systems (2011) (1)
Functions of matrix argument in the complex case (1997) (1)
A multivariate beta model (1993) (1)
Erdélyi-Kober Fractional Integrals in the Real Matrix-Variante Case (2018) (1)
Bounds for moments through a general orthogonal expansion in a pre-hilbert space-I (1975) (1)
A generalized entropy optimization and Maxwell–Boltzmann distribution (2018) (1)
Some common structures of distribution problems in geometric probabilities and multivariate statistical analysis (1988) (1)
Explicit Evaluations of Matrix-variate Gamma and Beta Integrals in the Real and Complex Cases (2014) (1)
Integrals of G-functions (1973) (1)
An Outcome Set (1977) (1)
Proportional Hazard in Reliability Analysis and the Pathway Model (2017) (1)
Analytic solar structure (1991) (1)
Generalizations of reaction rate integrals with applications to nuclear synthesis in astrophysics and some corrections to published literature (1993) (1)
On Adjacency Matrices and Descriptors of Signed Cycle Graphs (2013) (1)
A versatile integral in physics and astronomy (2011) (1)
THE DETERMINATION OF THE INTERNAL STRUCTURE OF THE SUN BY THE DENSITY DISTRIBUTION (1995) (1)
AN APPROXIMATE METHOD OF ANALYSIS FOR A TWO-WAY LAYOUT. (1965) (1)
Maximizing the sum of integers when their sum of squares is fixed (1988) (1)
FRACTIONAL DERIVATIVES FOR KOBER OPERATORS AND STATISTICAL DENSITIES IN THE REAL MATRIX-VARIATE CASES (2015) (1)
H -Function in Science and Engineering (2010) (1)
Tables of percentage points (2017) (1)
A Method of estimating the total number of events from information supplied by several agencies (1980) (1)
An Entropic Pathway to Multivariate Gaussian Density (2012) (1)
The Solar Neutrino Problem as a Probe for Nuclear Astrophysics (1986) (1)
A pathway to multivariate Gaussian density (2007) (1)
EXTENDED FRACTIONAL INTEGRALS, PRODUCTS AND RATIOS OF MATRICES AND STATISTICAL DISTRIBUTIONS (2020) (1)
An Alternative Method for Solving a Certain Class of Fractional Kinetic Equations (2010) (1)
Hypothesis of multisample sphericity (1986) (1)
Coupling of modes in Newtonian cosmology and the formation of primordial objects (1988) (1)
A measure of group behaviour, its characterization and applications in socio-anthropological studies (1975) (1)
5. Commonly used discrete distributions (2017) (0)
Transformations involving eigenvalues and unitary matrices (1997) (0)
Chapter 4: Applications in Astrophysics and Stochastic Processes (2005) (0)
Generalized Quadratic Forms (1995) (0)
10. Sampling distributions (2017) (0)
4. Expected values (2017) (0)
Essentials of Fractional Calculus (2017) (0)
Functions of Mittag-Leffler and Fox: The Pathway Model to Tsallis Statistics and Beck-Cohen Superstatistics (2009) (0)
MATRIX-VARIATE GROWTH-DECAY MODELS (1998) (0)
12 Interval estimation (2018) (0)
Application of G-function in statistics (1973) (0)
Applications of generalized special functions in stellar astrophysics (1993) (0)
Distribution of Partial Sums with Applications to Dam Capacity and Acid Rain (1982) (0)
Lie Group and Special Functions (2008) (0)
Chapter 1: Basic Ideas of Special Functions and Statistical Distributions (2006) (0)
5. Some applications of matrices and determinants (2017) (0)
8 Some multivariate distributions (2018) (0)
A HEURISTIC R EMARK ON T HE P ERIODIC V ARIATION IN T HE N UMBER OF SOLAR N EUTRINOS DETECTED O N E ARTH (1995) (0)
Erdélyi-Kober Fractional Integrals Involving Many Real Matrices (2018) (0)
Some useful results in analysis of data (1967) (0)
Univariate Probability Models—Continuous (1977) (0)
Optimal Regression Designs (2017) (0)
Scientific Endeavors of A.M. Mathai: An Appraisal on the Occasion of his Eightieth Birthday, 28 April 2015 (2015) (0)
Selected Topics in Multivariate Analysis (2018) (0)
Modern Factor Analysis. by Harry H. Harman. (2nd ed., revised.) The University of Chicago Press, Chicago and London (1967). xx+474 pp. (1970) (0)
4 Expected values (2018) (0)
On the distribution of sample scale-free scatter matrices (2022) (0)
Statistical Populations and Sampling (1977) (0)
16. Questions and answers (2017) (0)
9. Collection of random variables (2017) (0)
6. Matrix series and additional properties of matrices (2017) (0)
Testing Hypotheses on Variances in the Presence of Correlations (2000) (0)
Chapter 6: Generalized Inverse of Matrices and Semigroups (2006) (0)
A generalized entropy optimization and Maxwell–Boltzmann distribution (2018) (0)
Chapter 4: Applications in Astrophysics (2006) (0)
Univariate Probability Models—Discrete (1977) (0)
A Stochastic Variable (1977) (0)
Chapter 6: Linear Spaces (2005) (0)
CONTENTS OF RANDOM SIMPLICES AND RANDOM PARALLELOTOPES (2019) (0)
Chapter 7: Special Functions of Matrix Argument (2006) (0)
13. Tests of statistical hypotheses (2017) (0)
Chapter 3: Fractional Calculus and Fractional Differential Equations (2006) (0)
International Co‐operation in basic sciences research, its significance for developing countries: A personal experience (2008) (0)
10 Sampling distributions (2018) (0)
1. Random phenomena (2017) (0)
List of Symbols (2017) (0)
Analytic Expressions for Perturbations in a Multicomponent Cosmological Medium (1989) (0)
Kunitomo Sakurai, Solar Neutrino Problems - How they were Solved (2015) (0)
14. Model building and regression (2017) (0)
15. Design of experiments and analysis of variance (2017) (0)
Quadratic and Bilinear Forms In Normal Vectors (1995) (0)
On the singular gamma, Wishart, and beta matrix‐variate density functions (2022) (0)
Buffon type problem in the euclidean spaceR3 (1999) (0)
Applications in Astrophysics Problems (2010) (0)
Some Non-Parametric Tests (1977) (0)
The Sun (1995) (0)
S ep 2 01 2 Analysis of Solar Neutrino Data from SuperKamiokande I and II : Back to the Solar Neutrino Problem (2012) (0)
Finite and infinite series of G-functions (1973) (0)
Vector/Matrix Derivatives and Optimization (2018) (0)
DIVISION XII / COMMISSION 46 / PROGRAM GROUP COLLABORATIVE PROGRAMMES (2008) (0)
Applications to Order Statistics (2008) (0)
Computable representations of a G-function in the logarithmic case (1973) (0)
Kober Fractional Calculus and Matrix-Variate Functions (2018) (0)
Quadratic and Bilinear Forms in Elliptically Contoured Distributions (1995) (0)
An Interesting Extension of the Dirichlet Model (2017) (0)
On Products and Ratios of Three or More Generalized Gamma Variables (2016) (0)
6. Commonly used density functions (2017) (0)
7 Joint distributions (2018) (0)
Some special functions of matrix argument (1997) (0)
Analytical study of thermonuclear reaction probability integrals (2000) (0)
Non-deterministic Models and Optimization (2017) (0)
Fractional operators in the matrix variate case (2013) (0)
Basic research in mathematical and space sciences (2008) (0)
2 3 A ug 1 99 3 ASTROPHYSICAL THERMONUCLEAR FUNCTIONS (1993) (0)
8. Some multivariate distributions (2017) (0)
3 Random variables (2017) (0)
An Introduction to Statistical Mathematics. (1968) (0)
Factor Analysis Revisited (2021) (0)
Generalized Boltzmann factors induced by Weibull-type distributions (2013) (0)
Jacobians in the complex case (1997) (0)
Moments of generalized quadratic forms and distributions of certain multivariate test statistics (1995) (0)
An Alternate Simpler Method of Evaluating the Multivariate Beta Function and an Inverse Laplace Transform Connected with Wishart Distribution (1981) (0)
Universe, Structure of the (2003) (0)
On distributions of covariance structures (2022) (0)
Jacobians in orthogonal and related transformations (1997) (0)
Erdélyi-Kober Fractional Integrals in the Real Scalar Variable Case (2018) (0)
Erdélyi-Kober Fractional Integrals in the Complex Domain (2018) (0)
7. Joint distributions (2017) (0)
Characterisations of the Normal Law (1980) (0)
Solar Neutrinos, Diffusion, Entropy, Fractional Calculus (2018) (0)
S U N (1995) (0)
J un 2 00 9 Functions of Mittag-Leffler and Fox : The Pathway Model to Tsallis Statistics and (2009) (0)
Other applications of the G-function (1973) (0)

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What Schools Are Affiliated With A. M. Mathai?

A. M. Mathai is affiliated with the following schools: