Integral formula for the Bessel function of the first kind

DOI10.1007/S10231-021-01144-ZzbMath1496.33004arXiv2012.02887OpenAlexW3189777854MaRDI QIDQ2118049

Enrico De Micheli

Publication date: 22 March 2022

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.02887

zbMATH Keywords

incomplete gamma functionBessel functionsintegral representations

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 expansion in Gegenbauer polynomials: a simple method for the fast computation of the Gegenbauer coefficients
• Asymptotische Eigenschaften der unvollständigen Gammafunktionen
• Sulla funzione gamma incompleta
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