Some properties of a family of incomplete hypergeometric functions

DOI10.1134/S1061920813010111zbMath1279.33006OpenAlexW2045497314MaRDI QIDQ384370

Mohammad Hasan, H. S. Yoon

Publication date: 27 November 2013

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920813010111

zbMATH Keywords

incomplete hypergeometric functionsincomplete hypergeometric polynomials

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Classical hypergeometric functions, ({}_2F_1) (33C05) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items (17)

Fractional calculus and integral transforms of the product of a general class of polynomial and incomplete Fox-Wright functions ⋮ Some classes of generating functions associated with a certain family of extended and generalized hypergeometric functions ⋮ On the integral operators pertaining to a family of incomplete \(I\)-functions ⋮ Generating functions for the generalized Gauss hypergeometric functions ⋮ Some families of the incomplete \(H\)-functions and the incomplete \(\overline H \)-functions and associated integral transforms and operators of fractional calculus with applications ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Integral transform and fractional derivative formulas involving the extended generalized hypergeometric functions and probability distributions ⋮ Incomplete Caputo fractional derivative operators ⋮ Some extended Pochhammer symbols and their applications involving generalized hypergeometric polynomials ⋮ Certain Fractional Integral and Differential Formulas Involving the Extended Incomplete Generalized Hypergeometric Functions ⋮ A certain generalized Pochhammer symbol and its applications to hypergeometric functions ⋮ On the incomplete Srivastava’s triple hypergeometric matrix functions ⋮ On a family of the incomplete \(H\)-functions and associated integral transforms ⋮ A note on pathway fractional integral formulas associated with the incomplete \(H\)-functions ⋮ A family of the incomplete hypergeometric functions and associated integral transform and fractional derivative formulas ⋮ Extended incomplete version of hypergeometric functions

Uses Software

• DLMF
• Equator

Cites Work

• Some families of combinatorial and other series identities and their applications
• The incomplete Pochhammer symbols and their applications to hypergeometric and related functions
• Some Generating Functions for Laguerre and Hermite Polynomials
• Karlsson–Minton summation theorems for the generalized hypergeometric series of unit argument
• Hypergeometric Functions with Integral Parameter Differences
• AN EXTENSION OF HYPERGEOMETRIC FUNCTIONS (I)
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