The second-order self-associated orthogonal sequences

P. Maroni and M. Ihsen Tounsi

Journal of Applied Mathematics, 2004, vol. 2004, 1-31

Abstract:

The aim of this work is to describe the orthogonal polynomials sequences which are identical to their second associated sequence. The resulting polynomials are semiclassical of class s ≤ 3 . The characteristic elements of the structure relation and of the second-order differential equation are given explicitly. Integral representations of the corresponding forms are also given. A striking particular case is the case of the so-called electrospheric polynomials.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:497321

DOI: 10.1155/S1110757X04402058

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