Results 21 to 30 of about 103,034 (331)
Expansion of Hypergeometric Functions in Series of Other Hypergeometric Functions [PDF]
Mathematics of Computation, 1961 In a previous paper [1] one of us developed an expansion for the confluent hypergeometric function in series of Bessel functions. A different expansion of the same kind given by Buchholz [2] was also studied. Since publication of [1], it was found that Rice [3] has also developed an expansion of this type, and yet a fourth expansion of this kind can be
Richard L. Coleman, Yudell L. Luke
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Properties of generalized univariate hypergeometric functions [PDF]
, 2006 Based on Spiridonov's analysis of elliptic generalizations of the Gauss hypergeometric function, we develop a common framework for 7-parameter families of generalized elliptic, hyperbolic and trigonometric univariate hypergeometric functions.
B. Nassrallah +27 more
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Three- and four-term recurrence relations for Horn's hypergeometric function $H_4$
Researches in Mathematics, 2022 Three- and four-term recurrence relations for hypergeometric functions of the second order (such as hypergeometric functions of Appell, Horn, etc.) are the starting point for constructing branched continued fraction expansions of the ratios of these ...
R.I. Dmytryshyn, I.-A.V. Lutsiv
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A (p,q)-extension of Srivastava's triple hypergeometric function HB and its properties [PDF]
, 2019 In this paper, we obtain a (p,q)-extension of Srivastava's triple hypergeometric function HB(⋅), by using the extended Beta function Bp,q(x,y) introduced by Choi et al. (2014).
Dar, S. A., Paris, R. B.
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Analytical expression for the exact curved surface area and volume of hyperboloid of two sheets via Mellin-Barnes type contour integration [PDF]
Journal of Mahani Mathematical Research, 2023 In this article, we aim at obtaining the analytical expression (not previously found and recorded in the literature) for the exact curved surface area of a hyperboloid of two sheets in terms of Appell's double hypergeometric function of second kind and ...
M.A. Pathan, M. Qureshi, Javid Majid
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Algebraic A-hypergeometric functions [PDF]
Inventiones mathematicae, 2010 14 pages, 3 figures, research ...
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Recursion Rules for the Hypergeometric Zeta Functions [PDF]
, 2013 The hypergeometric zeta function is defined in terms of the zeros of the Kummer function M(a, a + b; z). It is established that this function is an entire function of order 1.
Byrnes, Alyssa +3 more
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Journal of Mathematics, 2021 In this paper, a new confluent hypergeometric gamma function and an associated confluent hypergeometric Pochhammer symbol are introduced. We discuss some properties, for instance, their different integral representations, derivative formulas, and ...
Abdus Saboor +4 more
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An interesting integral involving product of two generalized hypergeometric function
Boletim da Sociedade Paranaense de Matemática, 2022 In this research note, an interesting integral involving hypergeometric function has been evaluated in terms of gamma function. It is further used to evaluate an integral involving product of two generalized hypergeometric functions.
Harsh Vardhan Harsh +3 more
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Cuspidal hypergeometric functions [PDF]
Methods and Applications of Analysis, 1999 18 pages, no figures. This paper is dedicated to Richard Askey, on the occasion of his 65th birthday.
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