Title of article
The Askey scheme for hypergeometric orthogonal polynomials viewed from asymptotic analysis
Author/Authors
Temme، نويسنده , , N.M. and Lَpez، نويسنده , , J.L.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
11
From page
623
To page
633
Abstract
Many limits are known for hypergeometric orthogonal polynomials that occur in the Askey scheme. We show how asymptotic representations can be derived by using the generating functions of the polynomials. For example, we discuss the asymptotic representation of the Meixner–Pollaczek, Jacobi, Meixner, and Krawtchouk polynomials in terms of Laguerre polynomials.
Keywords
Askey scheme , Asymptotic analysis , Hypergeometric orthogonal polynomials
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2001
Journal title
Journal of Computational and Applied Mathematics
Record number
1551497
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