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Generating functions and a family of special orthogonal polynomials.

Authors :
Sghaier, M.
Khlifi, A.
Source :
Integral Transforms & Special Functions. Jan2018, Vol. 29 Issue 1, p62-80. 19p.
Publication Year :
2018

Abstract

In this paper, we use quadratic decomposition to develop a method for constructing generating functions for orthogonal polynomialsverifying thethree-term recurrencerelation with,. As application, we can deduce explicitly the expression for the generating functionin some well-known semiclassical cases. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*GENERATING functions
*ORTHOGONAL polynomials
*DECOMPOSITION method
*RECURRENT equations
*QUADRATIC differentials

Details

Language :
English
ISSN :
10652469
Volume :
29
Issue :
1
Database :
Academic Search Index
Journal :
Integral Transforms & Special Functions
Publication Type :
Academic Journal
Accession number :
126434101
Full Text :
https://doi.org/10.1080/10652469.2017.1404595
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