The generalized incomplete gamma function as sum over modified Bessel functions of the first kind

DOI10.1016/J.CAM.2011.03.001zbMath1220.33002OpenAlexW2064851412MaRDI QIDQ548309

E. J. M. Veling

Publication date: 28 June 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.03.001

zbMATH Keywords

modified Bessel functionclosed-form representationgeneralized incomplete gamma functionHantush well function

Mathematics Subject Classification ID

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

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Cites Work

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• Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
• Some remarks on uniform asymptotic expansions for Bessel functions
• Extended incomplete gamma functions with applications
• Asymptotics and closed form of a generalized incomplete gamma function
• Incomplete Bessel, generalized incomplete gamma, or leaky aquifer functions
• Hypergeometrische Funktionen zweier Veränderlichen

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