The second‐order self‐associated orthogonal sequences

P. Maroni and M. Ihsen Tounsi

Journal of Applied Mathematics, 2004, vol. 2004, issue 2, 137-167

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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https://doi.org/10.1155/S1110757X04402058

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2004:y:2004:i:2:p:137-167

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