An example of nonsymmetric semi-classical form of class s = 1; generalization of a case of Jacobi sequence

Mohamed Jalel Atia

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 24, 1-17

Abstract:

We give explicitly the recurrence coefficients of a nonsymmetric semi-classical sequence of polynomials of class s = 1 . This sequence generalizes the Jacobi polynomial sequence, that is, we give a new orthogonal sequence { P ˆ n ( α , α + 1 ) ( x , μ ) } , where μ is an arbitrary parameter with ℜ ( 1 − μ ) > 0 in such a way that for μ = 0 one has the well-known Jacobi polynomial sequence { P ˆ n ( α , α + 1 ) ( x ) } , n ≥ 0 .

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:285968

DOI: 10.1155/S0161171200004671

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