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01.12.2018

Biorthogonality and para-orthogonality of \(R_I\) polynomials

verfasst von: Kiran Kumar Behera, A. Swaminathan

Erschienen in: Calcolo | Ausgabe 4/2018

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Abstract

In this paper, a sequence of linear combination of \(R_{I}\) polynomials such that the terms in this sequence have a common zero is constructed. A biorthogonality relation arising from such a sequence is discussed. Besides, a sequence of para-orthogonal polynomials by removing the common zero using suitable conditions is obtained. Finally, a case of hypergeometric functions is studied with numerical observations to illustrate the results obtained.

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Titel: Biorthogonality and para-orthogonality of polynomials
verfasst von: Kiran Kumar Behera
A. Swaminathan
Publikationsdatum: 01.12.2018
Verlag: Springer International Publishing
Erschienen in: Calcolo / Ausgabe 4/2018
Print ISSN: 0008-0624
Elektronische ISSN: 1126-5434
DOI: https://doi.org/10.1007/s10092-018-0283-2

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