A new generalization of Pochhammer symbol and its applications

DOI10.2478/AMNS.2020.1.00023OpenAlexW3019252661MaRDI QIDQ2690704

Oğuz Yağcı, Recep Sahin

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.2020.1.00023

zbMATH Keywords

beta functiongamma functionrecurrence relationGauss hypergeometric functionconfluent hypergeometric functionintegral representationsderivative formulasPochhammer symbolAppell hypergeometric functionsHumbert hypergeometric functions of two variables

Mathematics Subject Classification ID

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) Other basic hypergeometric functions and integrals in several variables (33D70)

Related Items (3)

Degenerate Pochhammer symbol, degenerate Sumudu transform, and degenerate hypergeometric function with applications ⋮ Fractional calculus of the extended hypergeometric function ⋮ Properties and applications of a new extended gamma function involving confluent hypergeometric function

Uses Software

• DLMF

Cites Work

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• Some results on the extended beta and extended hypergeometric functions
• Some fractional integral formulas for the Mittag-Leffler type function with four parameters
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• Extension of gamma, beta and hypergeometric functions
• Extension of Euler's beta function
• Further extended Caputo fractional derivative operator and its applications
• Some new Saigo type fractional integral inequalities and their \(q\)-analogues
• Certain integral transform and fractional integral formulas for the generalized Gauss hypergeometric functions
• Certain unified integrals associated with Bessel functions
• An extension of Caputo fractional derivative operator and its applications
• Recursion formulas for Appell functions
• CERTAIN FRACTIONAL INTEGRAL INEQUALITIES INVOLVING HYPERGEOMETRIC OPERATORS
• Some formulas for the Appell functionF₁(a, b, b′;c; w, z)
• EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
• Extended Riemann-Liouville fractional derivative operator and its applications
• A note on fractional integral operator associated with multiindex Mittag-Leffler functions
• GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
• CERTAIN UNIFIED INTEGRALS INVOLVING A PRODUCT OF BESSEL FUNCTIONS OF THE FIRST KIND

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