Keyword

hypergeometric functions

Description: Hypergeometric functions are special functions defined by power series whose coefficients follow a hypergeometric recurrence, used in mathematics and its applications.

Primary topic: Mathematical functions and polynomials (40%)

Wikidata ID: wiki/Q21028472

OpenAlex ID: keywords/hypergeometric-functions

Table of Integrals, Series, and Products

1980 · Elsevier eBooks · 18,780

On certain integrals of Lipschitz-Hankel type involving products of bessel functions

1955 · G. Eason, B. Noble, et al. · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences · 4,427

Higher Transcendental Functions.

1954 · C. Truesdell, Harry Bateman, et al. · American Mathematical Monthly · 4,392

Special Functions

1999 · George E. Andrews, Richard Askey, et al. · Cambridge University Press eBooks · 2,659

The Penetration of a Potential Barrier by Electrons

1930 · Carl Eckart · Physical Review · 2,457

Special Functions and the Theory of Group Representations

1968 · N. Vilenkin · Translations of mathematical monographs · 2,080

An introduction to the mathematics and methods of astrodynamics

1987 · Richard H. Battin · Virtual Defense Library (Ministerio de Defensa) · 1,734

Generalized Hypergeometric Series

1965 · W. N. Bailey · International Linear Collider · 1,541

Multiple Gaussian hypergeometric series

1985 · H. M. Srivastava, Per W. Karlsson · Medical Entomology and Zoology · 1,077

Basic hypergeometric series

1991 · Walter Van Assche · Journal of Approximation Theory · 1,025

Advanced Calculus for Applications

1970 · F. B. Hildebrand · 1,025

Generalized fractional calculus and applications

1994 · Virginia Kiryakova · Medical Entomology and Zoology · 965

Higher transcendental functions

1955 · H. Bateman · International Linear Collider · 874

Conformal four point functions and the operator product expansion

2001 · F.A. Dolan, H. Osborn · Nuclear Physics B · 673

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SPECIAL FUNCTIONS (Encyclopedia of Mathematics and its Applications 71)

2001 · Frits Beukers · Bulletin of the London Mathematical Society · 664

Conformal partial waves and the operator product expansion

2003 · F.A. Dolan, H. Osborn · Nuclear Physics B · 558

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Linear Differential Operators

1962 · Cornelius Lanczos, J. Gillis · Physics Today · 552

Higher transcendental functions. Vol. II

1953 · H. Bateman, B.-E. Van Wyk, et al. · 535

Confluent Hypergeometric Functions

1961 · Y. L. L., L. J. Slater · Mathematics of Computation · 516

Special Functions and Their Applications

1965 · N. N. Lebedev, Richard A. Silverman, et al. · Physics Today · 513

Conformal Invariants, Inequalities, and Quasiconformal Maps

1997 · G. D. Anderson, M. K. Vamanamurthy, et al. · 501

Fonctions hypergéométriques et hypersphériques : polynomes d'Hermite

1926 · Paul Appell, J. Kampé de Fériet · University of Michigan Library Repository · 498

Multiple Hypergeometric Functions and Applications

1977 · J. E. J., Harold Exton · Technometrics · 495

The Confluent Hypergeometric Function

1969 · Herbert Buchholz · Springer Tracts in Natural Philosophy · 495

Starlike and Prestarlike Hypergeometric Functions

1984 · B. C. Carlson, Dorothy B. Shaffer · SIAM Journal on Mathematical Analysis · 494

Works count: 8,180

Citation count: 128,300