Existence of the neutrix limit of the \(q\)-analogue of the incomplete gamma function and its derivatives

DOI10.1016/j.aml.2011.09.015zbMath1242.33007OpenAlexW2057807431MaRDI QIDQ427611

Ahmed Salem

Publication date: 14 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.aml.2011.09.015

zbMATH Keywords

neutrix limitincomplete \(q\)-gamma functionneutrices

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items

Unnamed Item, On powers of the compositions involving Dirac-delta and infinitely differentiable functions, Estimating the polygamma functions for negative integers, Generalized the q-digamma and the q-polygamma functions via neutrices

Cites Work

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• Introduction to the neutrix calculus
• The neutrix limit of the \(q\)-gamma function and its derivatives
• On partial derivatives of the incomplete beta function
• An extension of the incomplete beta function for negative integers
• On Defining The Incomplete Gamma Function
• On defining the incomplete Gamma function γ(−m,x₋)
• Some remarks on the incomplete gamma function