Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{AtaAta01}
\by N.~M.~Atakishiyev, M.~K.~Atakishiyeva
\paper A $q$-Analogue of the Euler Gamma Integral
\jour TMF
\yr 2001
\vol 129
\issue 1
\pages 20--30
\mathnet{http://mi.mathnet.ru/tmf516}
\crossref{https://doi.org/10.4213/tmf516}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1904745}
\zmath{https://zbmath.org/?q=an:1028.33011}
\transl
\jour Theoret. and Math. Phys.
\yr 2001
\vol 129
\issue 1
\pages 1325--1334
\crossref{https://doi.org/10.1023/A:1012459209474}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000172400800003}
Linking options:
  • https://www.mathnet.ru/eng/tmf516
  • https://doi.org/10.4213/tmf516
  • https://www.mathnet.ru/eng/tmf/v129/i1/p20
    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:484
    Full-text PDF :240
    References:45
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024