Characterization of the Dunkl-classical symmetric orthogonal polynomials

نویسندگان

  • Youssèf Ben Cheikh
  • M. Gaied
چکیده

In this paper, we introduce the notion of Dunkl-classical orthogonal polynomials. Then, we show that generalized Hermite and generalized Gegenbauer polynomials are the only Dunkl-classical symmetric orthogonal polynomials by solving a suitable differential-difference equation. 2006 Elsevier Inc. All rights reserved.

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عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 187  شماره 

صفحات  -

تاریخ انتشار 2007