George Gasper

Q: What Schools Are Affiliated With George Gasper

George Gasper is affiliated with the following schools: Northwestern University, Wayne State University

George Gasper's AcademicInfluence.com Rankings

George Gasper

Mathematics

#3192

World Rank

#4767

Historical Rank

#1200

USA Rank

Measure Theory

#2696

World Rank

#3221

Historical Rank

#777

USA Rank

mathematics Degrees

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Mathematics

Why Is George Gasper Influential?

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According to Wikipedia, George Gasper is a mathematician at Northwestern University working on special functions, especially orthogonal polynomials and basic hypergeometric series, who introduced the Askey–Gasper inequality.

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George Gasper'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

Basic Hypergeometric Series (1990) (1928)
Banach Algebras for Jacobi Series and Positivity of a Kernel (1972) (164)
Linearization of the Product of Jacobi Polynomials. I (1970) (135)
Positivity and the Convolution Structure for Jacobi Series (1971) (133)
Basic Hypergeometric Series: Author index (2004) (116)
Some systems of multivariable orthogonal q-Racah polynomials (2004) (82)
Positive Sums of the Classical Orthogonal Polynomials (1977) (72)
Convolution structures for Laguerre polynomials (1977) (71)
Summation, transformation, and expansion formulas for bibasic series (1989) (68)
Positivity and Special Functions (1975) (66)
An Indefinite Bibasic Summation Formula and Some Quadratic, Cubic and Quartic Summation and Transformation Formulas (1990) (58)
Positive Integrals of Bessel Functions (1975) (51)
Projection formulas for orthogonal polynomials of a discrete variable (1974) (48)
Inequalities for polynomials (1986) (47)
Elementary derivations of summations and transformation formulas for q-series (1996) (43)
Jacobi polynomial expansions of Jacobi polynomials with non-negative coefficients (1971) (42)
A characterization of localized Bessel potential spaces and applications to Jacobi and Henkel multipliers (1979) (39)
Certain Rational Functions Whose Power Series Have Positive Coefficients (1972) (35)
Encyclopedia of Mathematics and its Applications (1990) (35)
Linearization of the Product of Jacobi Polynomials. II (1970) (34)
An inequality of Turán type for Jacobi polynomials (1972) (32)
Summation Formulas for Basic Hypergeometric Series (1981) (31)
Positivity of the Poisson Kernel for the Continuous q-Ultraspherical Polynomials (1983) (29)
Radial Fourier multipliers of L(R). (1984) (28)
Nonlinear Partial Differential Equations and Related Analysis (2005) (27)
Nonnegative sums of cosine, ultraspherical and Jacobi polynomials☆ (1969) (27)
Fractional integration for Laguerre expansions (1994) (26)
Nonnegativity of a discrete Poisson kernel for the Hahn polynomials (1973) (24)
Positivity of the poisson kernel for the continuous q Jacobi polynomials and some quadratic transformation formulas for basic hypergeometric series (1986) (24)
q-EXTENSIONS OF BARNES', CAUCHY'S, AND EULER'S BETA INTEGRALS (1989) (24)
Rogers’ Linearization Formula for the Continuous q-Ultraspherical Polynomials and Quadratic Transformation Formulas (1985) (22)
On the extension of Turan’s inequality to Jacobi polynomials (1971) (21)
Basic Hypergeometric Series: Additional summation, transformation, and expansion formulas (2004) (21)
Multiplier criteria of Hörmander type for Fourier series and applications to Jacobi series and Hankel transforms (1979) (20)
Formulas of the dirichlet-mehler type (1975) (19)
On localized potential spaces (1986) (18)
Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials (2004) (16)
q -extensions of Clausen's formula and of the inequalities used by de Brangesin his proof of the Bieberbach, Robertson, and Milin conjectures (1989) (16)
A short proof of an inequality used by de branges in his proof of the bieberbach, robertson and milin conjectures (1986) (15)
Orthogonality of Certain Functions with Respect to Complex Valued Weights (1981) (15)
Product Formulas of Watson, Bailey and Bateman Types and Positivity of the Poisson Kernel for q-Racah Polynomials (1984) (15)
On Necessary Multiplier Conditions for Laguerre Expansions (1991) (14)
Multiplier criteria of Marcinkiewicz type for Jacobi expansions (1977) (14)
Basic Hypergeometric Series: Elliptic, modular, and theta hypergeometric series (2004) (12)
Multiplier criteria of Hörmander type for Jacobi expansions (1980) (11)
A positive sum from summability theory (1975) (11)
Lecture notes for an introductory minicourse on q-series (1995) (11)
On a positive trigonometric sum (1968) (9)
A nonterminating q -Clausen formula and some related product formulas (1989) (9)
SUMMATION, TRANSFORMATION, AND EXPANSION FORMULAS FOR MULTIBASIC THETA HYPERGEOMETRIC SERIES (2005) (9)
Jacobi and Hankel multipliers of type (p,q), 1 (1978) (8)
Using integrals of squares of certain real-valued special functions to prove that the Pólya \Xi^*(z) function, the functions K_{iz}(a), a > 0, and some other entire functions have only real zeros (2008) (8)
Basic Hypergeometric Series: References (2004) (8)
Norm inequalities for fractional integrals of Laguerre and Hermite expansions (2000) (7)
Using Sums of Squares to Prove That Certain Entire Functions Have Only Real Zeros (1993) (7)
Linearization of the Product of Jacobi Polynomials. III (1971) (7)
On Two Conjectures of Askey Concerning Normalized Hankel Determinants for the Classical Polynomials (1973) (7)
q-Extensions of Erdélyi ’ s Fractional Integral Representations for Hypergeometric Functions and Some Summation Formulas for Double q-Kampé de Fériet Series (1999) (7)
Using Symbols Computer Algebraic Systems to Derive Formulas Involving Orthogonal Polynomials and Other Special Functions (1990) (6)
Nonnegative kernels in product formulas for q-Racah polynomials. I (1983) (6)
q-Analogues of Some Multivariable Biorthogonal Polynomials (2004) (5)
The Sums of a Double Hypergeometric Series and of the First m+1 Terms of 3F2(a,b,c;(a+b+1)/2,2c;1) when c = -m is a Negative Integer (2014) (5)
Some curious q-series expansions and beta integral evaluations (2004) (5)
The mathematical contributions of Richard Askey, in q-Series from a contemporary perspective, (2000) (5)
On the Littlewood-Paley $g$-function and the Lusin $s$-function (1968) (5)
Bibasic Summation, Transformation and Expansion Formulas, q-Analogues of Clausen’s Formula, and Nonnegative Basic Hypergeometric Series (1989) (4)
Products of terminating 3F2(1) series (1975) (4)
On the littlewood-paley and lusin functions in higher dimensions. (1967) (4)
IN HIGHER DIMENSIONS (2016) (4)
Applications of weighted Laguerre transplantation theorems (1999) (3)
Ultraspherical multipliers revisited (1995) (3)
An inequality for Tchebycheff polynomials and extensions (1975) (3)
A Riemann-Lebesgue Lemma for Jacobi expansions (1995) (3)
A lower estimate for the Lebesgue constants of linear means of Laguerre expansions (1998) (2)
Basic Hypergeometric Series: Basic contour integrals (2004) (2)
On a restriction problem of de Leeuw type for Laguerre multipliers (1994) (1)
On necessary multiplier conditions for Laguerre expansions II (1994) (1)
Shorter Notes: On a Positive Trigonometric Sum (1968) (1)
Errata, updates of the references, etc., for the book Basic Hypergeometric Series (1997) (1)
Nonlinear partial differential equations and related analysis : the Emphasis Year 2002-2003 program on nonlinear partial differential equations and related analysis, September 2002-July 2003, Northwestern University, Evanston, Illinois (2005) (0)
In Memoriam: Ralph P. Boas, Jr (1912-1992) (1993) (0)
ON SHARP NECESSARY CONDITIONS FOR RADIAL FOURIER MULTIPLIERS (1980) (0)
Basic Hypergeometric Series: Selected summation formulas (2004) (0)
Bilateral basic hypergeometric series (2004) (0)
Products of terminating3F2(1) series (1975) (0)
Basic Hypergeometric Series: q -series in two or more variables (2004) (0)
Summation, transformation, and expansion formulas (2004) (0)
Two-Dimensional Discrete Probability Distributions (P. Beckmann) (1976) (0)
A Positive Integral (Richard Askey) (1971) (0)
Basic Hypergeometric Series: The Askey–Wilson q -beta integral and some associated formulas (2004) (0)
Selected transformation formulas (2004) (0)
Extensions to generalizations of hypergeometric and basic hypergeometric functions of inequalities for quotients of hypergeometric functions that arose in research on financing efficiency of securities-based crowdfunding (2021) (0)
C A ] 1 0 O ct 2 00 4 q-Analogues of Some Multivariable Biorthogonal Polynomials (2008) (0)
Some Systems of Multivariable Orthogonal (2004) (0)
C A ] 1 2 A pr 1 99 5 Ultraspherical multipliers revisited (1995) (0)
Evaluation of a Hypergeometric Function (Otto G. Ruehr) (1985) (0)
Linear and bilinear generating functions for basic orthogonal polynomials (2004) (0)
A ug 1 99 4 Fractional integration for Laguerre expansions (1994) (0)
A tribute to Dick Askey (2015) (0)
Ramanujan Journal: Preface (2007) (0)
Basic Hypergeometric Series: Applications to orthogonal polynomials (2004) (0)
Identities involving q-shifted factorials, q-gamma functions and q-binomial coefficients (2004) (0)
POSITIVITY OF THE POISSONKERNELFORTHE CONTINUOUSq-JACOBIPOLYNOMIALSAND SOME QUADRATICTRANSFORMATIONFORMULASFOR BASIC HYPERGEOMETRIC SERIES* (1986) (0)

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What Schools Are Affiliated With George Gasper?

George Gasper is affiliated with the following schools: