Expansions of multivariable Bessel functions

DOI10.1080/10652460701445641zbMath1121.33006OpenAlexW2016735607MaRDI QIDQ5422408

Ahmad Arshan Khan

Publication date: 19 October 2007

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

Full work available at URL: https://doi.org/10.1080/10652460701445641

zbMATH Keywords

Hermite-Bessel functionsJacobi-Anger generating functionsMultivariable Bessel functions

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

• Generalized Bessel functions and Kapteyn series
• Expansion of Bessel functions of the first kindJ_n(ax) resp. modified Bessel functions of the first kindI_n(ax) in terms ofJ_k(x) · J_n−k((a − 1)x) resp.I_k(x) · I_n−k((a − 1)x), wheren,k ∈ ℤ

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