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20 June 2004 The second-order self-associated orthogonal sequences
P. Maroni, M. Ihsen Tounsi
J. Appl. Math. 2004(2): 137-167 (20 June 2004). DOI: 10.1155/S1110757X04402058


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 s3. 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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P. Maroni. M. Ihsen Tounsi. "The second-order self-associated orthogonal sequences." J. Appl. Math. 2004 (2) 137 - 167, 20 June 2004.


Published: 20 June 2004
First available in Project Euclid: 7 July 2004

zbMATH: 1090.42014
MathSciNet: MR2100462
Digital Object Identifier: 10.1155/S1110757X04402058

Primary: 33C45 , 42C05

Rights: Copyright © 2004 Hindawi

Vol.2004 • No. 2 • 20 June 2004
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