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The $q$-analog of the Rodrigues formula for symmetric $q$-Dunkl-classical orthogonal $q$-polynomials


Abstract

The purpose of this paper is to establish a Rodrigues type formula for $q$-Dunkl-classical symmetric orthogonal $q$-polynomials.

Нашою метою є встановити формулу типу Родрiгеса для $q$-класичних симетричних ортогональних $q$-полiномiв Данкла.

Key words: Orthogonal polynomials, symmetric forms, q-Dunkl operator, classical polynomials.


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Article Information

TitleThe $q$-analog of the Rodrigues formula for symmetric $q$-Dunkl-classical orthogonal $q$-polynomials
SourceMethods Funct. Anal. Topology, Vol. 29 (2023), no. 1-2, 73-80
DOI10.31392/MFAT-npu26_1–2.2023.06
MathSciNet   MR4753769
CopyrightThe Author(s) 2023 (CC BY-SA)

Authors Information

Jihad Souissi
Received 21/08/2023; Revised 12/03/2024


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Citation Example

Jihad Souissi, The $q$-analog of the Rodrigues formula for symmetric $q$-Dunkl-classical orthogonal $q$-polynomials, Methods Funct. Anal. Topology 29 (2023), no. 1, 73-80.


BibTex

@article {MFAT1912,
    AUTHOR = {Jihad Souissi},
     TITLE = {The $q$-analog of the Rodrigues formula for symmetric
  $q$-Dunkl-classical orthogonal
  $q$-polynomials},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {29},
      YEAR = {2023},
    NUMBER = {1},
     PAGES = {73-80},
      ISSN = {1029-3531},
  MRNUMBER = {MR4753769},
       DOI = {10.31392/MFAT-npu26_1–2.2023.06},
       URL = {http://mfat.imath.kiev.ua/article/?id=1912},
}


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