On integral representation of Bessel function of the first kind

DOI10.1016/j.jmaa.2004.12.012zbMath1077.33005OpenAlexW2054248030MaRDI QIDQ2484193

Tibor K. Pogány, Biserka Draščić

Publication date: 1 August 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.12.012

zbMATH Keywords

Mellin transformBessel function of the first kindFredholm integral equation of the first kindGeneralized Mathieu series

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fredholm integral equations (45B05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Lamé, Mathieu, and spheroidal wave functions (33E10)

Related Items (8)

Asymptotic expansion for generalized Mathieu series ⋮ On Mathieu-type series whose terms contain a generalized hypergeometric function \(_pF_q\) and Meijer's \(G\)-function ⋮ Multi-parameter Mathieu, and alternating Mathieu series ⋮ Some new bounds for Mathieu's series ⋮ Integral representations and summations of the modified Struve function ⋮ Some families of Mathieu \(\mathbf a\)-series and alternating Mathieu \(\mathbf a\)-series ⋮ Integral representation for Bessel's functions of the first kind and Neumann series ⋮ On multiple generalized Mathieu series

Uses Software

• BesselJ

Cites Work

• Integral transforms and their applications
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