On Neumann series of Macdonald functions

DOI10.1080/10652469.2022.2157414OpenAlexW4312203570MaRDI QIDQ6104257

Tibor K. Pogány, Najib Laraqi

Publication date: 28 June 2023

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

Full work available at URL: https://doi.org/10.1080/10652469.2022.2157414

zbMATH Keywords

modified Bessel function of the first kindNeumann seriesMacdonald functionGrünwald-Letnikov fractional derivativeintegral representation of functional series

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Integral methods for summability (40C10) Laplace transform (44A10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Function-theoretic methods (including power series methods and semicontinuous methods) for summability (40C15)

Cites Work

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• A coherent approach to non-integer order derivatives
• Series of Bessel and Kummer-type functions
• Integral representations for Neumann-type series of Bessel functions $I_{𝜈},$ $Y_{𝜈}$ and $K_{𝜈}$
• Integral representation for Neumann series of Bessel functions
• Neumann Series of Bessel Functions
• Neumann Series of Bessel Functions. II

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