On q-Raabe integral and some extensions

Mohamed El Bachraoui, József Sándor

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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 languageEnglish
Article number60
JournalRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Issue number2
Publication statusPublished - Apr 1 2020


  • 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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