Biorthogonality and para-orthogonality of RI polynomials

Abstract

In this paper, a sequence of linear combination of RI 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. © 2018, Istituto di Informatica e Telematica del Consiglio Nazionale delle Ricerche.