Some perturbed sequences of order one of the Chebyshev polynomials of second kind

Author: Maroni P.   Mejri M.  

Publisher: Taylor & Francis Ltd

ISSN: 1065-2469

Source: Integral Transforms and Special Functions, Vol.25, Iss.1, 2014-01, pp. : 44-60

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Abstract

We deal with a family of orthogonal polynomials as perturbed by Chebyshev polynomials of the second kind. The second-order differential equation satisfied by any polynomial is obtained and the integral representation of the corresponding canonical form is provided.