Closed-form expressions for derivatives of Bessel functions with respect to the order

DOI10.1016/j.jmaa.2018.06.043zbMath1392.33003arXiv1711.06849OpenAlexW2768504138WikidataQ129626132 ScholiaQ129626132MaRDI QIDQ1645184

J. L. González-Santander

Publication date: 28 June 2018

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

Full work available at URL: https://arxiv.org/abs/1711.06849

zbMATH Keywords

modified Bessel functionsBessel functionsgeneralized hypergeometric functionsMeijer-\(G\) function

Mathematics Subject Classification ID

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

Related Items (3)

Fitting Matérn smoothness parameters using automatic differentiation ⋮ A note on the order derivatives of Kelvin functions ⋮ Reflection formulas for order derivatives of Bessel functions

Uses Software

• DLMF

Cites Work

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• On the order derivatives of Bessel functions
• The special functions and their approximations. Vol. I, II
• 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)
• On the Derivative of Bessel Functions with Respect to the Order
• Convergence Acceleration of Alternating Series
• On the derivatives of the Bessel and Struve functions with respect to the order

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