Results 1 to 10 of about 12,030,394 (333)
Computing Hypergeometric Functions Rigorously [PDF]
ACM Transactions on Mathematical Software, 2019 We present an efficient implementation of hypergeometric functions in arbitrary-precision interval arithmetic. The functions 0 F 1 , 1 F 1 , 2 F 1 , and 2 F 0
Fredrik Johansson
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Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We describe a uniform way of obtaining basic hypergeometric functions as limits of the elliptic beta integral. This description gives rise to the construction of a polytope with a different basic hypergeometric function attached to each face of this ...
Fokko J. van de Bult, Eric M. Rains
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Hypergeometric Series, Truncated Hypergeometric Series, and Gaussian Hypergeometric Functions [PDF]
, 2016 25 ...
Deines, Alyson +4 more
semanticscholar +6 more sources
Cumhuriyet Science Journal, 2022 When the literature is examined, it is seen that there are many studies on the generalizations of gamma, beta and hypergeometric functions. In this paper, new types of generalized gamma and beta functions are defined and examined using the Wright ...
Enes Ata, İ. Onur Kıymaz
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Feynman integrals in two dimensions and single-valued hypergeometric functions [PDF]
Journal of High Energy Physics, 2023 We show that all Feynman integrals in two Euclidean dimensions with massless propagators and arbitrary non-integer propagator powers can be expressed in terms of single-valued analogues of Aomoto-Gelfand hypergeometric functions.
Claude Duhr, Franziska Porkert
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A physicist's guide to the solution of Kummer's equation and confluent hypergeometric functions [PDF]
Condensed Matter Physics, 2022 The confluent hypergeometric equation, also known as Kummer's equation, is one of the most important differential equations in physics, chemistry, and engineering. Its two power series solutions are the Kummer function, M(a,b,z), often referred to as the
W. N. Mathews Jr. +3 more
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Expansions of hypergeometric functions in hypergeometric functions [PDF]
Mathematics of Computation, 1961 In [1] Luke gave an expansion of the confluent hypergeometric function in terms of the modified Bessel functions I
Fields, J. L., Wimp, J.
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Algebraic A-hypergeometric functions [PDF]
Inventiones mathematicae, 2010 14 pages, 3 figures, research ...
Beukers, F. +3 more
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Degenerate binomial coefficients and degenerate hypergeometric functions
Advances in Difference Equations, 2020 In this paper, we investigate degenerate versions of the generalized pth order Franel numbers which are certain finite sums involving powers of binomial coefficients.
Taekyun Kim +3 more
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Rational Hypergeometric Functions [PDF]
Compositio Mathematica, 2001 Multivariate hypergeometric functions associated with toric varieties were introduced by Gel'fand, Kapranov and Zelevinsky. Singularities of such functions are discriminants, that is, divisors projectively dual to torus orbit closures. We show that most of these potential denominators never appear in rational hypergeometric functions.
Cattani, E, Dickenstein, A, Sturmfels, B
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