The generalized modified Bessel function and its connection with Voigt line profile and Humbert functions

DOI10.1016/j.aam.2019.101986zbMath1436.33020arXiv1810.03093OpenAlexW2995043008WikidataQ126531996 ScholiaQ126531996MaRDI QIDQ2300579

Rahul Kumar

Publication date: 27 February 2020

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.03093

zbMATH Keywords

distribution functionVoigt profileHumbert functiongeneralized modified Bessel function

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items

Superimposing theta structure on a generalized modular relation ⋮ Extensions of Watson’s theorem and the Ramanujan–Guinand formula

Uses Software

• DLMF

Cites Work

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• Voigt lineshape functions as a series of confluent hypergeometric functions
• On new reduction formulas for the Humbert functions Ψ₂, Φ₂and Φ₃
• On integral representations and asymptotics of some hypergeometric functions in two variables
• EXPANSIONS OF APPELL'S DOUBLE HYPER-GEOMETRIC FUNCTIONS (II)