Degenerate Gauss hypergeometric functions
Degenerate Gauss hypergeometric functionsIn 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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Probability density functions involving a generalized r–Gauss hypergeometric function
Le Matematiche, 2010 The aim of this paper is to study r–generalized gamma functions of a particular form.Moreover, we define a new probability density function (p.d.f) involving these new generalized functions.
Y. Ben Nakhi, S. L. Kalla
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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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Semi-orthogonalities of a class of Gauss hypergeometric functions
, 1996 We presented three semi-orthogonalities for a class of Gauss hypergeometric functions. We further employ the semi-orthogonalities to generate a theory concerning finite series expansion involving our hypergeometric functions.
Bajpai, S. D. +2 more
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Adiabatic Amplification of the Harmonic Oscillator Energy When the Frequency Passes through Zero. [PDF]
Entropy (Basel), 2022 Dodonov VV, Dodonov AV.
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DIHEDRAL GAUSS HYPERGEOMETRIC FUNCTIONS
DIHEDRAL GAUSS HYPERGEOMETRIC FUNCTIONSGauss hypergeometric functions with a dihedral monodromy group can be expressed as elementary functions, since their hypergeometric equations can be transformed to Fuchsian equations with cyclic monodromy groups by a quadratic change of the argument variable. This paper presents general elementary expressions of these dihedral hypergeometric functions,
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On a class of generalized analytic functions
Le Matematiche, 2012 This paper deals with a new generalization of analytical functions.The p-wave functions are introduced and studied. We consider their theoretical aspect and applications. Some integral representations of x^k y^l -wave functions (k, l − const.
Shyam L. Kalla +2 more
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Analysis of dead-core formation in catalytic reaction and diffusion processes with generalized diffusion flux. [PDF]
Sci Rep, 2022 Skrzypacz P +5 more
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Adiabatic Amplification of Energy and Magnetic Moment of a Charged Particle after the Magnetic Field Inversion. [PDF]
Entropy (Basel), 2023 Dodonov VV, Dodonov AV.
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An application of hypergeometric functions to heat kernels on rectangular and hexagonal tori and a "Weltkonstante"-or-how Ramanujan split temperatures. [PDF]
Ramanujan J, 2021 Faulhuber M.
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