Results 91 to 100 of about 395 (173)
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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Subordination Involving Gauss Hypergeometric Function
The primary objective of this work is to obtain some sufficient conditions so that normalized Gauss hypergeometric function satisfies exponential starlikeness and convexity in the unit disk. Moreover, conditions on parameter of this function has been derived for being Janowski convexity and starlikeness with the help of differential subordination ...
Kumar, Anish, Das, Sourav
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Transformations of Gauss hypergeometric functions
Transformations of Gauss hypergeometric functionsThe paper classifies algebraic transformations of Gauss hypergeometric functions and pull-back transformations between hypergeometric differential equations. This classification recovers the classical transformations of degree 2, 3, 4, 6, and finds other transformations of some special classes of the Gauss hypergeometric function.
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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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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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Spectral Decomposition of Discrepancy Kernels on the Euclidean Ball, the Special Orthogonal Group, and the Grassmannian Manifold. [PDF]
Constr Approx, 2023 Dick J +3 more
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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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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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