P. Maroni, M. Ihsen Tounsi, "The second-order self-associated orthogonal sequences", Journal of Applied Mathematics, vol. 2004, Article ID 497321, 31 pages, 2004. https://doi.org/10.1155/S1110757X04402058
The second-order self-associated orthogonal sequences
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 . 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.
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