On some further hypergeometric series identities obtained via fractional calculus

DOI10.7153/jca-05-06zbMath1415.33002OpenAlexW2561788600MaRDI QIDQ3120733

Sebastien Gaboury, Arjun K. Rathie

Publication date: 5 March 2019

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

Full work available at URL: https://doi.org/10.7153/jca-05-06

zbMATH Keywords

fractional derivativesgeneralized hypergeometric functionbeta integral methodGauss quadratric transformation formula

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

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• Certain transformations for multiple hypergeometric functions
• Generalization of a quadratic transformation formula due to Gauss
• Automatic generation of hypergeometric identities by the beta integral method.
• Remark on certain transformations for multiple hypergeometric functions
• CERTAIN HYPERGEOMETRIC IDENTITIES DEDUCIBLE BY USING THE BETA INTEGRAL METHOD
• FURTHER HYPERGEOMETRIC IDENTITIES DEDUCIBLE BY FRACTIONAL CALCULUS
• An Integral Equation Involving Legendre Functions
• Leibniz Rule for Fractional Derivatives Generalized and an Application to Infinite Series
• The Fractional Derivative of a Composite Function
• Fractional Derivatives and Leibniz Rule

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