On the representation of cylinder functions

DOI10.1080/10652469.2020.1743287zbMath1465.33002arXiv1905.11283OpenAlexW3014011889MaRDI QIDQ4987026

Enrico De Micheli

Publication date: 28 April 2021

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

Full work available at URL: https://arxiv.org/abs/1905.11283

zbMATH Keywords

integral representationcylinder functionsincomplete gamma functionsmixed type representation

Mathematics Subject Classification ID

Integral methods for summability (40C10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Uses Software

• DLMF

Cites Work

• Integral representation for Bessel's functions of the first kind and Neumann series
• The special functions and their approximations. Vol. I, II
• Asymptotische Eigenschaften der unvollständigen Gammafunktionen
• Sulla funzione gamma incompleta
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