A procedure for generating infinite series identities
International Journal of Mathematics and Mathematical Sciences, 2004 A procedure for generating infinite series identities makes use of the generalized method of exhaustion by analytically evaluating the inner series of the resulting double summation.
Anthony A. Ruffa
doaj +1 more source
Functional reduction of Feynman integrals
Journal of High Energy Physics, 2019 A method for reducing Feynman integrals, depending on several kinematic variables and masses, to a combination of integrals with fewer variables is proposed. The method is based on iterative application of functional equations proposed by the author. The
O. V. Tarasov
doaj +1 more source
Numerical Evaluation of the Gauss Hypergeometric Function with the hypergeo Package [PDF]
The R Journal, 2015 This paper introduces the hypergeo package of R routines for numerical calculation of hypergeometric functions. The package is focussed on efficient and accurate evaluation of the Gauss hypergeometric function over the whole of the complex plane within the constraints of fixed-precision arithmetic.
openaire +1 more source
Abstract and Applied Analysis, 2019 We establish fractional integral and derivative formulas by using Marichev-Saigo-Maeda operators involving the S-function. The results are expressed in terms of the generalized Gauss hypergeometric functions.
D. L. Suthar, Hafte Amsalu
doaj +1 more source
Sato-Tate distribution of <i>p</i>-adic hypergeometric functions. [PDF]
Res Number Theory, 2023 Pujahari S, Saikia N.
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. +2 more
openaire +2 more sources
On branched continued fraction expansions of hypergeometric functions \(F_M\) and their ratios
Modern Mathematical MethodsThe paper investigates the problem of constructing branched continued fraction expansions of hypergeometric functions \(F_M(a_1,a_2,b_1,b_2;a_1,c_2;\mathbf{z})\) and their ratios.
Ivan Nyzhnyk +2 more
doaj
Energy eigenvalues and finite-temperature magnetization for the improved Scarf II potential in the presence of external magnetic and Aharonov-Bohm flux fields. [PDF]
Heliyon, 2023 Eyube ES +6 more
europepmc +1 more source
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
doaj
A Generic Formula and Some Special Cases for the Kullback-Leibler Divergence between Central Multivariate Cauchy Distributions. [PDF]
Entropy (Basel), 2022 Bouhlel N, Rousseau D.
europepmc +1 more source