Results 21 to 30 of about 43,514 (215)
Hypergeometric decomposition of symmetric K3 quartic pencils. [PDF]
Res Math Sci, 2020 We study the hypergeometric functions associated to five one-parameter deformations of Delsarte K3 quartic hypersurfaces in projective space. We compute all of their Picard--Fuchs differential equations; we count points using Gauss sums and rewrite this ...
Doran CF +5 more
europepmc +4 more sources
Darboux evaluations of algebraic Gauss hypergeometric functions
Kyushu Journal of Mathematics, 2012 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 +4 more sources
Advances in High Energy Physics, 2018 We examine the expansions of the solutions of the general Heun equation in terms of the Gauss hypergeometric functions. We present several expansions using functions, the forms of which differ from those applied before.
T. A. Ishkhanyan +2 more
doaj +3 more sources
Gauss hypergeometric function and quadratic $R$-matrix algebras
St. Petersburg mathematical journal, 1993 We consider representations of quadratic $R$-matrix algebras by means of certain first order ordinary differential operators. These operators turn out to act as parameter shifting operators on the Gauss hypergeometric function and its limit cases and on ...
Koornwinder, Tom H., Kuznetsov, Vadim B.
core +7 more sources
Exact Expressions for Kullback–Leibler Divergence for Univariate Distributions [PDF]
EntropyThe Kullback–Leibler divergence (KL divergence) is a statistical measure that quantifies the difference between two probability distributions. Specifically, it assesses the amount of information that is lost when one distribution is used to approximate ...
Victor Nawa, Saralees Nadarajah
doaj +2 more sources
On the generalized Gauss hypergeometric function
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2008 In this work the (τ, β)-hypergeometric Gauss function is considered, the basic properties of this function are investigated, some applications are given.
N. A. Virchenko
doaj +4 more sources
Large parameter cases of the Gauss hypergeometric function [PDF]
Journal of Computational and Applied Mathematics, 2003 21 pages, 4 ...
openaire +4 more sources
Transformations of some Gauss hypergeometric functions
Journal of Computational and Applied Mathematics, 2005 This paper presents explicit algebraic transformations of some Gauss hypergeometric functions. Specifically, the transformations considered apply to hypergeometric solutions of hypergeometric differential equations with the local exponent differences $1/K,1/L,1/M$ such that $K,L,M$ are positive integers and $1/K+1/L+1/M<1$.
Raimundas Vidunas
openaire +6 more sources
CERTAIN RESULTS ON EXTENDED GENERALIZED τ-GAUSS HYPERGEOMETRIC FUNCTION
Honam Mathematical Journal, 2016 Summary: The main aim of this paper is to introduce an extension of the generalized \(\tau\)-Gauss hypergeometric function \({}_rF^{\tau}_s(z)\) and investigate various properties of the new function such as integral representations, derivative formulas, Laplace transform, Mellin transform and fractional calculus operators.
Kumar, Dinesh +2 more
openaire +4 more sources
On some new contiguous relations for the Gauss hypergeometric function with applications
Computers and Mathematics With Applications, 2011 Contiguous relations for hypergeometric series contain an enormous amount of hidden information. Applications of contiguous relations range from the evaluation of hypergeometric series to the derivation of summation and transformation formulas for such ...
M. Rakha, A. Rathie, P. Chopra
semanticscholar +3 more sources