arXiv:1801.05625 Abstract | arXiv Analytics

arXiv:1801.05625 [math.CA]Abstract References Reviews Resources

Orthogonality from linear combination of $R_I$ polynomials

Published 2018-01-17Version 1

In this paper, a sequence of linear combination of $R_{I}$ 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.

Comments: 15 pages, 2 figures

Categories: math.CA

Subjects: 42C05, 15A18, 33C45

Keywords: linear combination, common zero, type polynomials, hypergeometric functions, para-orthogonal polynomials

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