Biorthogonality and para-orthogonality of $R_I$ polynomials
Classical Analysis and ODEs
2021-04-13 v2
Abstract
In this paper, a sequence of linear combination of type 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 to illustrate the results obtained.
Cite
@article{arxiv.1801.05625,
title = {Biorthogonality and para-orthogonality of $R_I$ polynomials},
author = {Kiran Kumar Behera and A. Swaminathan},
journal= {arXiv preprint arXiv:1801.05625},
year = {2021}
}
Comments
16 pages, 2 figures