Some New Connection Relations Related to Classical Orthogonal Polynomials

Some New Connection Relations Related to Classical Orthogonal Polynomials

In this paper, we deal with a problem of positivity of linear functionals in the linear space ℙ of polynomials in one variable with complex coefficients. Some new results of connection relations between the corresponding sequences of monic orthogonal polynomials of classical character are establishe...

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Main Authors: Wathek Chammam, Wasim Ul-Haq
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2020/4702347
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spelling doaj-0357d5ddcd0d41b39c91a21b2e79c0852020-11-25T03:40:01ZengHindawi LimitedJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/47023474702347Some New Connection Relations Related to Classical Orthogonal PolynomialsWathek Chammam0Wasim Ul-Haq1Department of Mathematics, College of Science Al-Zulfi, Majmaah University, P.O. Box 66, Al-Majmahh 11952, Saudi ArabiaDepartment of Mathematics, College of Science Al-Zulfi, Majmaah University, P.O. Box 66, Al-Majmahh 11952, Saudi ArabiaIn this paper, we deal with a problem of positivity of linear functionals in the linear space ℙ of polynomials in one variable with complex coefficients. Some new results of connection relations between the corresponding sequences of monic orthogonal polynomials of classical character are established.http://dx.doi.org/10.1155/2020/4702347
collection DOAJ
language English
format Article
sources DOAJ
author Wathek Chammam
Wasim Ul-Haq
spellingShingle Wathek Chammam
Wasim Ul-Haq
Some New Connection Relations Related to Classical Orthogonal Polynomials
Journal of Mathematics
author_facet Wathek Chammam
Wasim Ul-Haq
author_sort Wathek Chammam
title Some New Connection Relations Related to Classical Orthogonal Polynomials
title_short Some New Connection Relations Related to Classical Orthogonal Polynomials
title_full Some New Connection Relations Related to Classical Orthogonal Polynomials
title_fullStr Some New Connection Relations Related to Classical Orthogonal Polynomials
title_full_unstemmed Some New Connection Relations Related to Classical Orthogonal Polynomials
title_sort some new connection relations related to classical orthogonal polynomials
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4629
2314-4785
publishDate 2020-01-01
description In this paper, we deal with a problem of positivity of linear functionals in the linear space ℙ of polynomials in one variable with complex coefficients. Some new results of connection relations between the corresponding sequences of monic orthogonal polynomials of classical character are established.
url http://dx.doi.org/10.1155/2020/4702347
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AT wasimulhaq somenewconnectionrelationsrelatedtoclassicalorthogonalpolynomials
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