Neumann series and Lommel functions of two variables

DOI10.1080/10652469.2016.1153637zbMath1347.33013OpenAlexW2319132176MaRDI QIDQ2812125

Bujar Xh. Fejzullahu

Publication date: 16 June 2016

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2016.1153637

zbMATH Keywords

Bessel functionsNeumann seriesincomplete gamma functionsLommel functions of two variables

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (3)

Partial fraction expansion of the hypergeometric functions ⋮ On the curves of zeros of Lommel functions of two variables ⋮ On the Poincaré expansion of the Hurwitz zeta function

Uses Software

• DLMF

Cites Work

• Integral representations for Neumann-type series of Bessel functions $I_{𝜈},$ $Y_{𝜈}$ and $K_{𝜈}$
• Integral representation for Neumann series of Bessel functions

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