Representations for parameter derivatives of some Koornwinder polynomials in two variables - Egyptian Knowledge Bank

387482

Representations for parameter derivatives of some Koornwinder polynomials in two variables

Article

Last updated: 05 Jan 2025

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Abstract

In this paper, we give the parameter derivative representations in the form of
∂P n,k (λ; x, y )
∂λ
=
n −1
m =0
m
j=0
d n, j,m P m, j (λ; x, y ) +
k
j=0
e n, j,k P n, j (λ; x, y )
for some Koornwinder polynomials where λ is a parameter and 0 ≤ k ≤ n ; n = 0 , 1 , 2 , . . . and present
orthogonality properties of the parametric derivatives of these polynomials.

DOI

10.1016/j.joems.2016.01.004

Keywords

Orthogonal polynomials, Jacobi polynomials, Laguerre polynomials, Koornwinder polynomi- als, Parameter derivatives

Authors

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First Name

Rabia

Last Name

Akta ¸

MiddleName

Affiliation

Department of Mathematics, Ankara University, Ankara, Turkey

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Orcid

Volume

Article Issue

Related Issue

51066

Issue Date

2016-12-01

Receive Date

2024-10-22

Publish Date

2016-12-01

Page Start

555

Page End

561

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 4_Pages 555-561.pdf

PDF . 372.5kB

Link

https://joems.journals.ekb.eg/article_387482.html

Detail API

https://joems.journals.ekb.eg/service?article_code=387482

Order

387,482

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

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