Certain generalized fractional calculus formulas and integral transforms involving \((p, q)\)-Mathieu-type series

DOI10.1186/s13662-019-2142-0zbMath1459.26007OpenAlexW2948685001MaRDI QIDQ2424346

Arjun K. Rathie, Ravi P. Agarwal, Adem Kilicman, Rakesh Kumar Parmar

Publication date: 24 June 2019

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

Full work available at URL: https://doi.org/10.1186/s13662-019-2142-0

zbMATH Keywords

Marichev-Saigo-Maeda fractional operatorsgeneralized Mathieu series\((p, q)\)-Mathieu series

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Discrete operational calculus (44A55)

Related Items (3)

Unnamed Item ⋮ Unnamed Item ⋮ Operators of fractional calculus and associated integral transforms of the \((\mathfrak{r}, \mathfrak{s})\)-extended Bessel-Struve kernel function

Uses Software

• DLMF

Cites Work

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• Certain fractional calculus formulas involving extended generalized Mathieu series
• Fractional integration and differentiation of the generalized Mathieu series
• Integral expressions for Mathieu-type power series and for the Butzer-Flocke-Hauss Ω-function
• THE IDEAL τ(M) AND LOCALLY CYCLIC PROJECTIVE MODULES
• Some families of generalized Mathieu-type power series, associated probability distributions and related inequalities involving complete monotonicity and log-convexity
• On a new (p,q)-Mathieu-type power series and its applications
• Operators of fractional integration and their applications

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