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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 129, Number 1, Pages 20–30
DOI: https://doi.org/10.4213/tmf516 (Mi tmf516) 		 
This article is cited in 17 scientific papers (total in 17 papers)

A $q$-Analogue of the Euler Gamma Integral

N. M. Atakishiyeva, M. K. Atakishiyevab

a National Autonomous University of Mexico, Institute of Mathematics
b Universidad Autonoma del Estado de Morelos
Full-text PDF (215 kB) Citations (17)
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DOI: https://doi.org/10.4213/tmf516
Abstract: We discuss $q$-analogues of the Euler reflection formula and the Euler gamma integral. The central role here is played by the Ramanujan $q$-extension of the Euler integral representation for the gamma function, which allows deriving the Mellin integral transformations for the $q$-polynomials of Stieltjes–Wigert, Rogers–Szegö, Laguerre, and Wall, for the alternative $q$-polynomials of Charlier, and for the little $q$-polynomials of Jacobi.
Received: 13.02.2001
Revised: 22.04.2001
English version:
Theoretical and Mathematical Physics, 2001, Volume 129, Issue 1, Pages 1325–1334
DOI: https://doi.org/10.1023/A:1012459209474
Bibliographic databases:
Language: Russian
Citation: N. M. Atakishiyev, M. K. Atakishiyeva, “A $q$-Analogue of the Euler Gamma Integral”, TMF, 129:1 (2001), 20–30; Theoret. and Math. Phys., 129:1 (2001), 1325–1334
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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\pages 1325--1334
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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