Results 131 to 140 of about 821 (208)

Darboux evaluations of algebraic Gauss hypergeometric functions

This paper presents explicit expressions for algebraic Gauss hypergeometric functions. We consider solutions of hypergeometric equations with the tetrahedral, octahedral and icosahedral monodromy groups.
Vidunas, Raimundas
core  

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  

Some Quadratic Transformations and Reduction Formulas associated with Hypergeometric Functions

, 2020
In this paper, we construct four summation formulas for terminating Gauss’ hypergeometric series having argument “two and with the help of our summation formulas.
Qureshi, M. I., Khan, M. Kashif
core  

Performance analysis over q-Weibull fading channels for symbol error probability evaluation using a tighter Gaussian Q approximation. [PDF]

Sci Rep
Samal S, Chakravarty S, Mukherjee T, Panigrahi A, Pati A, Sahu B.   +5 more
europepmc   +1 more source

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,
openaire  

Adiabatic Amplification of Energy and Magnetic Moment of a Charged Particle after the Magnetic Field Inversion. [PDF]

Entropy (Basel), 2023
Dodonov VV, Dodonov AV.
europepmc   +1 more source

Transcendental addition theorems for the hypergeometric function of Gauss [PDF]

Pacific Journal of Mathematics, 1958
openaire   +3 more sources

Study analytical function subordination properties by applying a novel linear operator. [PDF]

F1000Res
Majel MS, Hameed MI.
europepmc   +1 more source

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.
europepmc   +1 more source