Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find






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


Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 4, Pages 16–25
DOI: https://doi.org/10.26907/0021-3446-2020-4-16-25
(Mi ivm9558)
 

This article is cited in 1 scientific paper (total in 1 paper)

Integral estimates for Laguerre polynomials with exponential weight function

R. M. Gadzhimirzaev

Dagestan Federal Research Center of the Russian Academy of Sciences, 45 M. Gadjieva str., Makhachkala, 367000 Russia
Full-text PDF (365 kB) Citations (1)
References:
Abstract: In this paper we consider the system of functions $\lambda_{1+n}(x)$ generated by the system of Laguerre function. For the functions $\lambda_{1+n}(x)$ different representations in terms of the Laguerre polynomials $L_n^\alpha(x)$ are obtained. Using these representations and asymptotic formulas for the $L_n^\alpha(x)$ polynomials, we investigated the behavior of the functions $\lambda_{1+n}(x)$ on $[0,\infty)$ as $n\rightarrow\infty$ and obtained estimates similar to those for the Laguerre functions
Keywords: Laguerre polynomials, Laguerre functions, asymptotic properties.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-00477_мол_а
Received: 05.03.2019
Revised: 17.09.2019
Accepted: 25.09.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 4, Pages 12–20
DOI: https://doi.org/10.3103/S1066369X20040027
Bibliographic databases:
Document Type: Article
UDC: 517.15
Language: Russian
Citation: R. M. Gadzhimirzaev, “Integral estimates for Laguerre polynomials with exponential weight function”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 4, 16–25; Russian Math. (Iz. VUZ), 64:4 (2020), 12–20
Citation in format AMSBIB
\Bibitem{Gad20}
\by R.~M.~Gadzhimirzaev
\paper Integral estimates for Laguerre polynomials with exponential weight function
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2020
\issue 4
\pages 16--25
\mathnet{http://mi.mathnet.ru/ivm9558}
\crossref{https://doi.org/10.26907/0021-3446-2020-4-16-25}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2020
\vol 64
\issue 4
\pages 12--20
\crossref{https://doi.org/10.3103/S1066369X20040027}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000529686700002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85083968775}
Linking options:
  • https://www.mathnet.ru/eng/ivm9558
  • https://www.mathnet.ru/eng/ivm/y2020/i4/p16
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:362
    Full-text PDF :99
    References:36
    First page:4
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024