Reflection formulas for order derivatives of Bessel functions

DOI10.1007/s00025-022-01804-3OpenAlexW2890908864MaRDI QIDQ2103336

J. L. González-Santander

Publication date: 13 December 2022

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

Full work available at URL: https://arxiv.org/abs/1809.08124

zbMATH Keywords

Bessel functionsorder derivativesreflection formulas

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) One-variable calculus (26A06)

Uses Software

• DLMF

Cites Work

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• Double exponential formulas for numerical integration
• Closed-form expressions for derivatives of Bessel functions with respect to the order
• On the order derivatives of Bessel functions
• Higher derivatives of the Bessel functions with respect to the order
• Integral Representations of Derivatives and Integrals with Respect to the Order of the Bessel Functions J_v(t), I_v(t), the Anger Function J_v(t) and the Integral Bessel Function Ji_v(t)

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