On an extension of extended beta and hypergeometric functions

DOI10.7153/jca-2017-11-07zbMath1424.33008arXiv1502.06200OpenAlexW2963751840MaRDI QIDQ4627847

Purnima Chopra, Richard B. Paris, Rakesh Kumar Parmar

Publication date: 5 March 2019

Published in: Journal of Classical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.06200

zbMATH Keywords

generalized gamma functionMellin transformsextended beta functionsummation formulatransformation formulasextended gamma functionextended confluent hypergeometric functionextended hypergeometric function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

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Uses Software

• DLMF

Cites Work

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• Extension of Euler's beta function
• Extended hypergeometric and confluent hypergeometric functions
• Extended incomplete gamma functions with applications
• Generalized incomplete gamma functions with applications
• On the decomposition of generalized incompete gamma functions with applications to Fourier transforms
• Asymptotics and closed form of a generalized incomplete gamma function
• EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
• On a connection between the generalized incomplete gamma functions and their extensions
• On an extension of generalized incomplete Gamma functions with applications
• MATHIEU-TYPE SERIES BUILT BY (p, q)-EXTENDED GAUSSIAN HYPERGEOMETRIC FUNCTION

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