A note on the order derivatives of Kelvin functions

DOI10.1007/s00025-019-0957-3zbMath1407.33007arXiv1806.09164OpenAlexW3098571386WikidataQ128533572 ScholiaQ128533572MaRDI QIDQ667540

J. L. González-Santander

Publication date: 28 February 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.09164

zbMATH Keywords

generalized hypergeometric functionBessel functionsKelvin functionsMeijer-\(G\) function

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Generalized hypergeometric series, ({}_pF_q) (33C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Uses Software

• DLMF

Cites Work

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• Integral representation for Bessel's functions of the first kind and Neumann series
• Integral representation of Kelvin functions and their derivatives with respect to the order
• Closed-form expressions for derivatives of Bessel functions with respect to the order
• Higher derivatives of the Bessel functions with respect to the order

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