New integral forms of generalized Mathieu series and related applications

DOI10.2298/AADM121227028MzbMath1299.33009OpenAlexW2013380150WikidataQ115058691 ScholiaQ115058691MaRDI QIDQ5420854

Tibor K. Pogány, Gradimir V. Milovanović

Publication date: 13 June 2014

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm121227028m

zbMATH Keywords

Mellin transformBessel function of the first kindFredholm integral equation of the first kindintegral representation of series

Mathematics Subject Classification ID

Laplace transform (44A10) Other functions defined by series and integrals (33E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (13)

\(p\)-extended Mathieu series from the Schlömilch series point of view ⋮ Asymptotic expansion for generalized Mathieu series ⋮ Solution of generalized fractional kinetic equations with generalized Mathieu series ⋮ Fractional calculus involving \((p, q)\)-Mathieu type series ⋮ Extension of Mathieu series and alternating Mathieu series involving the Neumann function \(Y_{\nu}\) ⋮ Dirichlet Beta Function via Generalized Mathieu Series Family ⋮ Certain fractional calculus formulas involving extended generalized Mathieu series ⋮ Some remarks on the Mathieu series ⋮ Multi-parameter Mathieu, and alternating Mathieu series ⋮ Solution of fractional kinetic equations associated with the \((p, q)\)-Mathieu-type series ⋮ Fractional integration and differentiation of the generalized Mathieu series ⋮ Unnamed Item ⋮ On a new (p,q)-Mathieu-type power series and its applications

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