FRACTIONAL DIFFERENTIATIONS AND INTEGRATIONS OF QUADRUPLE HYPERGEOMETRIC SERIES

DOI10.4134/CKMS.c200184zbMath1491.33006OpenAlexW3209031490MaRDI QIDQ5164379

Maged G. Bin-Saad, Jihad Younis, Kottakkaran Sooppy Nisar

Publication date: 11 November 2021

Full work available at URL: http://www.koreascience.or.kr/article/JAKO202123162108728.page

zbMATH Keywords

Euler integralsinverse pairs of symbolic operatorstriple hypergeometric functionsquadruple hypergeometric functionsfractional derivative formulasintegrals of Laplace-type

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Generalized hypergeometric series, ({}_pF_q) (33C20) Appell, Horn and Lauricella functions (33C65) Classical operational calculus (44A45)

Related Items (1)

Linearly independent solutions and integral representations for certain quadruple hypergeometric function

Cites Work

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• Certain Laplace transforms of convolution type integrals involving product of two special \(_{p}F_{p}\) functions
• On a new class of Laplace-type integrals involving generalized hypergeometric functions
• Decomposition formulas associated with the Lauricella multivariable hypergeometric functions
• A study on certain properties of generalized special functions defined by Fox-Wright function
• On some formulas for the Appell functionF₂(a, b, b′;c, c′;w; z)

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