Results 121 to 130 of about 12,473 (234)

hypergeo: The Gauss Hypergeometric Function [PDF]

, 2008
Robin K. S. Hankin
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Gauss Hypergeometric Functions, Multiple Polylogarithms, and Multiple Zeta Values

Publications of the Research Institute for Mathematical Sciences, 2010
In this article, we express solutions of the Gauss hypergeometric equation as a series of the multiple polylogarithms by using iterated integral. This representation is the most simple case of a semisimple representation of solutions of the formal KZ equation.
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All order ε-expansion of Gauss hypergeometric functions with integer and half/integer values of parameters [PDF]

, 2007
M.Yu. Kalmykov, B. F. L. Ward, S.A. Yost
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Periods of Hodge cycles and special values of the Gauss' hypergeometric function

, 2020
Jorge Duque Franco
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Recurrence relations for the coefficients of the confluent and Gauss hypergeometric functions in the complex plane [PDF]

Zi-Qiao Xu, Zhong-Xuan Mao, Jing-Feng Tian   +2 more
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Energy eigenvalues and finite-temperature magnetization for the improved Scarf II potential in the presence of external magnetic and Aharonov-Bohm flux fields. [PDF]

Heliyon, 2023
Eyube ES, Notani PP, Onate CA, Wadata U, Omugbe E, Bitrus BM, Najoji SD.   +6 more
europepmc   +1 more source

A Generic Formula and Some Special Cases for the Kullback-Leibler Divergence between Central Multivariate Cauchy Distributions. [PDF]

Entropy (Basel), 2022
Bouhlel N, Rousseau D.
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Spectral Decomposition of Discrepancy Kernels on the Euclidean Ball, the Special Orthogonal Group, and the Grassmannian Manifold. [PDF]

Constr Approx, 2023
Dick J, Ehler M, Gräf M, Krattenthaler C.   +3 more
europepmc   +1 more source

Degenerate Gauss hypergeometric functions

Degenerate Gauss hypergeometric functions
In this paper we study terminating and ill-defined Gauss hypergeometric functions. For their hypergeometric equations, the set of 24 Kummer′s solutions degenerates. We describe those solutions and relations between them. Kyushu University 21st Century COE Program Development of Dynamic Mathematics with High Functionality 九州大学21世紀COEプログラム「機能数理学の構築と展開」
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The quantum-mechanical Coulomb propagator in an L² function representation. [PDF]

Sci Rep, 2021
Gersbacher R, Broad JT.
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