On q-Raabe integral and some extensions

Mohamed El Bachraoui; József Sándor

doi:10.1007/s13398-020-00796-5

On q-Raabe integral and some extensions

Mohamed El Bachraoui, József Sándor

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

The Raabe integral ∫01logΓq(x)dx for q-gamma function where 0 < q< 1 was obtained independently by Mahmoud and Agarwal as well as El Bachraoui. We obtain a third method for the computation of this integral. We extend further the q-Raabe integral by evaluating ∫01xklogΓq(x)dx for k= 0 , 1 , … providing q-analogues for ∫01xklogΓ(x)dx.

Original language	English
Article number	60
Journal	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Volume	114
Issue number	2
DOIs	https://doi.org/10.1007/s13398-020-00796-5
Publication status	Published - Apr 1 2020

Keywords

Raabe formula
q-gamma function

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology
Computational Mathematics
Applied Mathematics

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10.1007/s13398-020-00796-5

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On q-Raabe integral and some extensions

Abstract

Keywords

ASJC Scopus subject areas

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