Study of incomplete elliptic integrals pertaining to \(_p\Psi_q\) function

DOI10.2478/jamsi-2018-0009zbMath1492.33010OpenAlexW2910768521MaRDI QIDQ1711144

Peng Zhang

Publication date: 17 January 2019

Published in: Journal of Applied Mathematics, Statistics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/jamsi-2018-0009

zbMATH Keywords

complete elliptic integralsincomplete elliptic integralsfractional Riemann-Liouville differ integral operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Appell, Horn and Lauricella functions (33C65) Elliptic functions and integrals (33E05) Elliptic integrals as hypergeometric functions (33C75)

Cites Work

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• A certain class of incomplete elliptic integrals and associated definite integrals
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Some families of generalized elliptic-type integrals
• A note on the convergence of certain families of multiple hypergeometric series
• Some remarks on generalized elliptic-type integrals
• Some families of generalized complete and incomplete elliptic-type integrals
• Some elliptic intervals of Barton and Bushell
• Definite integrals of generalized certain class of incomplete elliptic integrals
• A Note on the Convergence of KAMPÉ DE FÉRIET's Double Hypergeometric Series
• The Asymptotic Expansion of the Generalized Hypergeometric Function
• Multiple Elliptic Integrals

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