Generalized Jacobi orthogonal polynomials

Author: Bouras B.  

Publisher: Taylor & Francis Ltd

ISSN: 1065-2469

Source: Integral Transforms and Special Functions, Vol.18, Iss.10, 2007-01, pp. : 715-730

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Abstract

In this paper, by evaluating a new Hankel determinant of order n, we give explicitly the recurrence coefficients of a symmetric semi-classical sequence of polynomials of class s ≤ 2. Then, by using the quadratic decomposition of such sequence, we give a nonsymmetric semi-classical sequence of polynomials of class [image omitted] generalizing the Jacobi polynomial sequence.