Certain fractional calculus formulas involving extended generalized Mathieu series

DOI10.1186/s13662-018-1596-9zbMath1446.26006OpenAlexW2804560690MaRDI QIDQ1712197

Praveen Agarwal, Serkan Araci, Mehmet Acikgoz, Gurmej Singh

Publication date: 21 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1596-9

zbMATH Keywords

gamma functionhypergeometric functionfractional integral operatorsfractional derivative operatorsextended generalized Mathieu series

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other hypergeometric functions and integrals in several variables (33C70) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items (5)

Existence of positive solutions for nonlocal problems with indefinite nonlinearity ⋮ New multiplicity of positive solutions for some class of nonlocal problems ⋮ Certain generalized fractional calculus formulas and integral transforms involving \((p, q)\)-Mathieu-type series ⋮ Certain Fractional Integral and Differential Formulas Involving the Extended Incomplete Generalized Hypergeometric Functions ⋮ Generalization of the quotient mean series

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