Results 101 to 110 of about 821 (208)

Functional reduction of Feynman integrals

open access: yesJournal 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 by power summations [PDF]

open access: yesMathematics of Computation, 2014
Numerical evaluation of the Gauss hypergeometric function 2
openaire   +1 more source

Asymptotics of a Gauss hypergeometric function with two large parameters: a new case

open access: yes, 2020
Asymptotic expansions of the Gauss hypergeometric function with large parameters, \(F(\alpha+\epsilon_1\tau,\beta+\epsilon_2\tau;\gamma+\epsilon_3\tau;z)\) as \(|\tau|\to\infty\), are known for many special cases, but not for one that the author ...
Harper, John, John Harper (8511060)
core   +1 more source

HB ?1,?2,?3 Srivastava Hypergeometric Function

open access: yes, 2019
Formulas and identities involving many well known special functions (such as the Gamma and Betafunctions, Gauss hypergeometric function, and so on) play important roles in themselves and their diverseapplications.
Yağcı, Oğuz
core  

Fractional Integral and Derivative Formulas by Using Marichev-Saigo-Maeda Operators Involving the S-Function

open access: yesAbstract 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

Semi-orthogonalities of a class of Gauss hypergeometric functions

open access: yes, 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

Darboux evaluations of algebraic Gauss hypergeometric functions

open access: yes, 2006
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」This paper presents explicit expressions for algebraic Gauss hypergeometric functions.
Vidunas, Raimundas
core  

A note on the new extended beta and gauss hypergeometric functions

open access: yes, 2018
A variety of extensions of the classical beta function and the Gauss hypergeometric function 2F1 have been presented and investigated. In this sequel, we aim to give a further extension of the extended beta function, which is used to extend the 2F1 and ...
Araci, Serkan   +8 more
core   +1 more source

The inversion, formulae for some bessel and hypergeometric transforms [PDF]

open access: yes, 1976
By an appeal to the Laplace transform and their inverses we have obtained five inversión formulae for some Bessel function transforms. The inversion formula for hyperqeometric transforms have been given whose kernel are the confluent hypergeometric ...
González de Galindo, S. E.   +1 more
core  

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