Classical Orthogonal Polynomials and Some New Properties for Their Centroids of Zeroes

B. Aloui; W. Chammam

doi:10.1007/s10476-020-0012-3

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Classical Orthogonal Polynomials and Some New Properties for Their Centroids of Zeroes

Journal article

Peer reviewed

Classical Orthogonal Polynomials and Some New Properties for Their Centroids of Zeroes

B. Aloui and W. Chammam

Analysis mathematica (Budapest), Vol.46(1), pp.13-23

01/03/2020

DOI: https://doi.org/10.1007/s10476-020-0012-3

Abstract

Mathematics

Physical Sciences

Science & Technology

This paper aims to highlight new properties of the centroid of the zeroes of a polynomial. As an illustration, we apply these techniques to O-classical orthogonal polynomials, where O is the derivative operator D or the q-derivative H-q.

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Title: Classical Orthogonal Polynomials and Some New Properties for Their Centroids of Zeroes
Creators - without role: B. Aloui - University of Gabès
W. Chammam - Majmaah University
Publication Details: Analysis mathematica (Budapest), Vol.46(1), pp.13-23
Publisher: Springer Nature
Number of pages: 11
Grant note: RGP-2019-5 / Deanship of Scientific Research at Majmaah University
Identifiers: 9918108808331
Academic Unit: Majmaah University
Language: English
Resource Type: Journal article