Results 51 to 60 of about 40,608 (254)
Extending Gaussian hypergeometric series to the $p$-adic setting
, 2012 We define a function which extends Gaussian hypergeometric series to the $p$-adic setting. This new function allows results involving Gaussian hypergeometric series to be extended to a wider class of primes.
Ahlgren S. +3 more
core +1 more source
Asymptotics of the Gauss hypergeometric function with large parameters, I [PDF]
, 2013 We obtain asymptotic expansions for the Gauss hypergeometric function F(a+ε1λ,b+ε2λ;c+ε3λ;z) as |λ| →∞ when the εj are finite by an application of the method of steepest descents, thereby extending previous results corresponding to εj = 0, ±1. By means of
Paris, Richard B.
core +7 more sources
Extende beta, hypergeometric and confluent hypergeometric functions
, 2019 15 ...
Khan, N. U., Usman, T., Aman, M.
openaire +2 more sources
Extended k-Gamma and k-Beta Functions of Matrix Arguments
Mathematics, 2020 Various k-special functions such as k-gamma function, k-beta function and k-hypergeometric functions have been introduced and investigated. Recently, the k-gamma function of a matrix argument and k-beta function of matrix arguments have been presented ...
Ghazi S. Khammash +2 more
doaj +1 more source
A General Family of q-Hypergeometric Polynomials and Associated Generating Functions
Mathematics, 2021 Basic (or q-) series and basic (or q-) polynomials, especially the basic (or q-) hypergeometric functions and the basic (or q-) hypergeometric polynomials are studied extensively and widely due mainly to their potential for applications in many areas of ...
Hari Mohan Srivastava, Sama Arjika
doaj +1 more source
Connection coefficients for basic Harish-Chandra series [PDF]
, 2014 Basic Harish-Chandra series are asymptotically free meromorphic solutions of the system of basic hypergeometric difference equations associated to root systems.
Askey +62 more
core +2 more sources
The K Extended Laguerre Polynomials Involving Aαr,n,kxFr r,r>2
Advances in Mathematical Physics, 2022 In this manuscript, we present the generalized hypergeometric function of the type Fr r,r>2 and extension of the K Laguerre polynomial for the K extended Laguerre polynomials Ar,n,kαx.
Adnan Khan +3 more
doaj +1 more source
Supersymmetry, shape invariance and the hypergeometric equation
, 2014 It has been shown earlier that the solubility of the Legendre and the associated Legendre equations can be understood as a consequence of an underlying supersymmetry and shape invariance. We have extended this result to the hypergeometric equation. Since
Das, Ashok K., Kalauni, Pushpa
core +1 more source
FRACTIONAL CALCULUS AND FRACTIONAL KINETIC EQUATION INVOLVING EXTENDED HYPERGEOMETRIC FUNCTION
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2023 In this article, generalized pathway integral operator with the classical Gauss hypergeometric function kernel and the fractional differential operators are used to studied new extended hypergeometric function. Furthermore, extended fractional kinetic equation involving new extended hypergeometric function that contained two Fox-Wright function as ...
Kaurangini, M. L. +4 more
openaire +1 more source
Extensions of the Classical Transformations of 3F2
, 2019 It is shown that the classical quadratic and cubic transformation identities satisfied by the hypergeometric function ${}_3F_2$ can be extended to include additional parameter pairs, which differ by integers.
Maier, Robert S.
core +1 more source