Fractional calculus of the extended hypergeometric function

DOI10.2478/AMNS.2020.1.00035OpenAlexW3021074187MaRDI QIDQ2690716

Recep Sahin, Oğuz Yağcı

Publication date: 17 March 2023

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amns.2020.1.00035

zbMATH Keywords

beta functiongamma functiongenerating functionsintegral transformshypergeometric functionsfractional calculus operatorsextended hypergeometric function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Generalized hypergeometric series, ({}_pF_q) (33C20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Applications of hypergeometric functions (33C90) Appell, Horn and Lauricella functions (33C65) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Other basic hypergeometric functions and integrals in several variables (33D70)

Related Items (7)

Fuzzy-interval inequalities for generalized preinvex fuzzy interval valued functions ⋮ LANDSCAPE ARCHITECTURE CONSTRUCTION USING LANDSCAPE URBANISM AND DYNAMIC NONLINEAR SYSTEM THINKING ⋮ Degenerate Pochhammer symbol, degenerate Sumudu transform, and degenerate hypergeometric function with applications ⋮ Solution of fractional kinetic equations involving generalized Hurwitz-Lerch Zeta function using Sumudu Transform ⋮ New fuzzy-interval inequalities in fuzzy-interval fractional calculus by means of fuzzy order relation ⋮ New Chebyshev type inequalities via a general family of fractional integral operators with a modified Mittag-Leffler kernel ⋮ New fractional integral formulas and kinetic model associated with the hypergeometric superhyperbolic sine function

Uses Software

• DLMF

Cites Work

• Some results on the extended beta and extended hypergeometric functions
• A certain generalized Pochhammer symbol and its applications to hypergeometric functions
• Extension of gamma, beta and hypergeometric functions
• Extension of Euler's beta function
• Extended hypergeometric and confluent hypergeometric functions
• On the solutions of certain fractional kinetic equations
• A comparative study on generating function relations for generalized hypergeometric functions via generalized fractional operators
• Solution of two point boundary value problems, a numerical approach: parametric difference method
• Numerical solutions with linearization techniques of the fractional Harry Dym equation
• A new generalization of Pochhammer symbol and its applications
• An extension of Caputo fractional derivative operator and its applications
• EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
• Generalized fractional integration of Bessel function of the first kind
• An iterative method for non-autonomous nonlocal reaction-diffusion equations
• On a New Extension of Caputo Fractional Derivative Operator
• GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
• ON FRACTIONAL INTEGRALS AND DERIVATIVES
• The fractional kinetic equation and thermonuclear functions.
• Operators of fractional integration and their applications
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