Results 101 to 110 of about 614 (214)

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

Adiabatic Amplification of the Harmonic Oscillator Energy When the Frequency Passes through Zero. [PDF]

Entropy (Basel), 2022
Dodonov VV, Dodonov AV.
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」
openaire  

The quantum-mechanical Coulomb propagator in an L² function representation. [PDF]

Sci Rep, 2021
Gersbacher R, Broad JT.
europepmc   +1 more source

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., Arora, M. S., Mishra, Sadhana   +2 more
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Ratios of the Gauss Hypergeometric Functions with Parameters Shifted by Integers: More on Integral Representations [PDF]

, 2021
Alexander Dyachenko, Dmitrii Karp
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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, Kabduali B, Kadyrbek A, Szafert S, Andreev V, Golman B.   +5 more
europepmc   +1 more source

DIHEDRAL GAUSS HYPERGEOMETRIC FUNCTIONS

DIHEDRAL GAUSS HYPERGEOMETRIC FUNCTIONS
Gauss 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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GR\"{U}SS TYPE INEQUALITIES INVOLVING THE GENERALIZED GAUSS HYPERGEOMETRIC FUNCTIONS [PDF]

, 2016
Abdullah Akkurt, S. Kilincc, Hüseyin Yıldırım   +2 more
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Computing two special cases of Gauss hypergeometric function [PDF]

, 2011
Mohammad Masjed‐Jamei, Wolfram Koepf
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