Arthur Erdélyi

Q: What Schools Are Affiliated With Arthur Erdélyi

Arthur Erdélyi is affiliated with the following schools: University of Sussex, University of Oxford, California Institute of Technology, University of Szeged, University of Edinburgh, Brno University of Technology, Karl-Ferdinands-Universität

Arthur Erdélyi's AcademicInfluence.com Rankings

Arthur Erdélyi

Mathematics

#2295

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Measure Theory

#387

Historical Rank

mathematics Degrees

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Mathematics

Arthur Erdélyi's Degrees

PhD Mathematics University of Szeged

Why Is Arthur Erdélyi Influential?

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According to Wikipedia, Arthur Erdélyi FRS, FRSE was a Hungarian-born British mathematician. Erdélyi was a leading expert on special functions, particularly orthogonal polynomials and hypergeometric functions. Biography He was born Arthur Diamant in Budapest, Hungary to Ignác Josef Armin Diamant and Frederike Roth. His name was changed to Erdélyi when his mother remarried to Paul Erdélyi. He attended the primary and secondary schools there from 1914 to 1926. His interest in mathematics dates back to this time. Erdélyi was a Jew, and so it was difficult for him to receive a university education in his native Hungary. He travelled to Brno, Czechoslovakia, to obtain a degree in electrical engineering. However, after his flair for mathematics was discovered , he was persuaded to study the subject.

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Arthur Erdélyi'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

Higher Transcendental Functions (1954) (8884)
Tables of integral transforms (1955) (4209)
The asymptotic expansion of a ratio of gamma functions. (1951) (209)
Asymptotic Expansions of Fourier Integrals Involving Logarithmic Singularities (1956) (131)
Asymptotic Representations of Fourier Integrals and the Method of Stationary Phase (1955) (117)
Fractional Integration and Dual Integral Equations (1962) (88)
Operational calculus and generalized functions (1962) (88)
Higher Transcendental Functions. III (1956) (78)
An Integral Equation Involving Legendre Functions (1964) (76)
ON FRACTIONAL INTEGRATION AND ITS APPLICATION TO THE THEORY OF HANKEL TRANSFORMS (1940) (75)
SOME REMARKS ON HANKEL TRANSFORMS (1940) (74)
Certain expansions of solutions of the Heun equation (1944) (71)
Asymptotic Solutions of Differential Equations with Transition Points or Singularities (1960) (65)
Asymptotic Forms for Laguerre Polynomials (1960) (63)
Some problems of non-associative combinations (2) (1940) (54)
The asymptotic evaluation of certain integrals (1963) (53)
Singularities of generalized axially symmetric potentials (1956) (50)
General asymptotic expansions of laplace integrals (1961) (47)
On the Finite Difference Analogue of Rodrigues' Formula (1952) (46)
The Fuchsian equation of second order with four singularities (1942) (42)
Hypergeometric functions of two variables (1950) (42)
Fractional integrals of generalized functions (1972) (36)
TRANSFORMATION OF HYPERGEOMETRIC INTEGRALS BY MEANS OF FRACTIONAL INTEGRATION BY PARTS (1939) (32)
An application of fractional integrals (1965) (30)
Axially Symmetric Potentials and Fractional Integration (1965) (29)
On the Euler-Poisson-Darboux equation (1970) (25)
The Hankel Transform of a Product of Whittaker's Functions (1938) (24)
INTEGRAL EQUATIONS FOR HEUN FUNCTIONS (1942) (24)
Asymptotic forms of Whittaker’s confluent hypergeometric functions (1957) (22)
Note on the equation (1945) (21)
Transformation of a certain series of products of confluent hypergeometric functions. Applications to Laguerre and Charlier polynomials (1940) (20)
Singular Perturbations of Boundary Value Problems Involving Ordinary Differential Equations (1963) (20)
On Some Expansions in Laguerre Polynomials (1938) (19)
NOTE ON A PAPER BY TITCHMARSH (1963) (19)
Approximate solutions of a nonlinear boundary value problem (1968) (17)
Some integral equations involving finite parts of divergent integrals (1967) (16)
Fractional Integrals of Distributions (1970) (16)
Two-Variable Expansions for Singular Perturbations (1968) (16)
Asymptotic Evaluation of Integrals Involving a Fractional Derivative (1974) (15)
SOME APPLICATIONS OF FRACTIONAL INTEGRATION (1963) (14)
An Integral Equation Involving Legendre's Polynomial (1963) (14)
Note on An Inversion Formula for the Laplace Transformation (1943) (14)
Review: B. van der Pol and H. Bremmer, Operational calculus (1951) (14)
On a partial differential equation with two singular lines (1958) (12)
XIII. On Lamé functions (1941) (11)
Integral equations for Lamé functions (1942) (10)
LXI. Inversion formulæ for the Laplace transformation (1943) (10)
XXII.—Integration of a Certain System of Linear Partial Differential Equations of Hypergeometric Type. (1940) (9)
Solved Problems in Analysis (1972) (9)
The analytic theory of systems of partial differential equations (1951) (9)
Stieltjes transforms of generalised functions (1977) (9)
The stieltjes transformation on weighted Lp spaces (1978) (8)
An extension of a Hardy-Littlewood-Pólya inequality (1978) (8)
Review: W. G. Bickley, L. J. Comrie, J. C. P. Miller, D. H. Sadler and A. J. Thompson, Bessel functions. Part II. Functions of positive integer order (1953) (8)
XXVII.—Expansions of Lamé Functions into Series of Legendre Functions (1948) (8)
Some Dual Integral Equations (1968) (8)
XXXIX.—Transformations of Hypergeometric Functions of Two Variables (1948) (7)
XXVI.—Some Confluent Hypergeometric Functions of Two Variables. (1940) (7)
The Confluent Hypergeometric Function Vol 15 (1970) (6)
Parabolic Cylinder Functions of Large Order (1954) (6)
ON DIFFRACTION BY A STRIP. (1953) (6)
Two infinite integrals (1939) (6)
Advanced Instruction in Practical Mathematics (1946) (5)
A CASE HISTORY IN SINGULAR PERTURBATIONS (1975) (5)
XXIX. Note on Heine's integral representation of associated Legendre functions (1941) (5)
NOTE ON THE TRANSFORMATION OF EULERIAN HYPERGEOMETRIC INTEGRALS (1939) (5)
VI.—Generating Functions of Certain Continuous Orthogonal Systems (1941) (5)
XXVIII. On algebraic Lamé functions (1941) (4)
Asymptotic representation of Laplace transforms with an application to inverse factorial series (1947) (4)
On certain expansions of the solutions of Mathieu'S differential equation (1942) (4)
APPLICATIONS OF MODEL THEORY TO ALGEBRA, ANALYSIS AND PROBABILITY (1970) (4)
LXXV. Integral representations for products of Whittaker functions (1938) (4)
Lectures on asymptotic solutions of ordinary linear differential equations (1961) (4)
INTEGRATION OF THE DIFFERENTIAL EQUATIONS OF APPELL'S FUNCTION F4 (1941) (4)
Asymptotic Forms of Coulomb Wave Functions, II (1955) (3)
An Integral Representation for the Product of Two Whittaker Functions (1939) (3)
Sir Edmund Whittaker, 1873–1956 (1957) (3)
Fractional integrals of generalised functions (1972) (3)
Review: A. Kratzer and W. Franz, Transzendente Funktionen (1962) (3)
Survey of Mathematics (1968) (3)
PROCEEDINGS UNITED STATES‐JAPAN SEMINAR ON DIFFERENTIAL AND FUNCTIONAL EQUATIONS (1969) (2)
ON SOME BIORTHOGONAL SETS OF FUNCTIONS (1940) (2)
A Class of Hypergeometric Transforms (1940) (2)
The general form of hypergeometric series of two variables (1951) (2)
On a Generalisation of the Laplace Transformation (1954) (2)
MATCHED ASYMPTOTIC EXPANSIONS AND SINGULAR PERTURBATIONS (1974) (2)
On a paper by Copson and Ferrar (1939) (2)
An example in singular perturbations (1962) (2)
THE INVERSION OF THE LAPLACE TRANSFORMAT I ON (1950) (2)
On Lambe's infinite integral formula (1940) (1)
On Certain Discontinuous Wave Functions (1947) (1)
The Hankel transform of Whittaker's function Wk, m(z) (1938) (1)
S. Karlin, Total Positivity , Vol. I (Stanford University Press; London: Oxford University Press, 1968), xi + 576 pp., 166s. 6d. (1970) (1)
Parametric Equations and Proper Interpretation of Mathematical Symbols (1951) (1)
A Simple Circuit for FSK Modulation (1971) (1)
An Extension of the Concept of Real Number (1963) (1)
On some generalisations of Laguerre polynomials (1941) (1)
On the Connection between Hankel Transforms of Different Order (1941) (1)
On certain expansions of the solutions of the general Lamé equation (1942) (1)
Review: Chester Snow, Hypergeometric and Legendre functions with applications to integral equations of potential theory (1954) (1)
ASYMPTOTIC SOLUTIONS OF DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS (1965) (1)
Tables of Weber Functions, Volume 1, by I. Ye Kireyeva and K. A. Karpov. Mathematical Table Series volume 15. Pergarnon Press, Oxford, London, New York, Paris, 1961. xxiv + 364 pages. $ 20.00. (1962) (0)
NON‐STANDARD ANALYSIS (1967) (0)
Baseband Pulse Transmission in a Chain of Analog Repeaters (1974) (0)
Joseph Langley Burchnall (1978) (0)
Lectures on Mikusiński's theory of operational calculus and generalized functions (1959) (0)
Contributions to the theory of hypergeometric functions and other papers (1940) (0)
OBTAINING GENERATING FUNCTIONS (1973) (0)
XIV. Some integral representations of the associated Legendre functions (1940) (0)
Ruth F. Curtain and A. J. Pritchard, Functional Analysis in Modern Applied Mathematics (Academic Press, London, 1977), ix+339 pp., £10·80. (1978) (0)
Thomas Murray MacRobert (1963) (0)
Generalized Integral Transformations (1970) (0)
EQUATIONS AND THE AVERAGING PRINCIPLE (1981) (0)
THE CONFLUENT HYPERGEOMETRIC FUNCTION (1970) (0)
S. G. Mikhlin, Integral Equations and their Applications to Certain Problems in Mechanics, Mathematical Physics and Technology . Translated from the Russian By A. H. Armstrong (Pergamon Press, 1964), xiv + 341 pp., 80s. (1964) (0)
Tables of the Function F(z) = z 0 e x 2 dx v in the Complex Domain (1960) (0)
The Transient Response of Bode's Ideal Feedback Amplifier* (1957) (0)
[Book Reviews] (1965) (0)
LIE THEORY AND SPECIAL FUNCTIONS (1969) (0)
Operational Calculus (1967) (0)
Applying a Smoothing Criterion to the Kalman Filter (1978) (0)
[Book Reviews] (1965) (0)
Review: R. P. Gilbert, Constructive methods for elliptic equations (1975) (0)
[Book Reviews] (1966) (0)
Serge Lang, Elliptic Functions , (Addison-Wesley/W. A. Benjamin, Inc., 1974), xii + 326 pp., $17.50. (1975) (0)
In memory of Cornelius Lánczos (1975) (0)
Asymptotic expression of Whittaker's functions for real values of argument and parameters (1938) (0)

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What Schools Are Affiliated With Arthur Erdélyi?

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