Certain properties of Gegenbauer polynomials via Lie algebra

Jyotindra C. Prajapati; Junesang Choi; Krunal B. Kachhia; Praveen Agarwal

doi:10.1007/s13398-016-0343-x

Certain properties of Gegenbauer polynomials via Lie algebra

Jyotindra C. Prajapati
, Junesang Choi
, Krunal B. Kachhia
, Praveen Agarwal

Marwadi Education Foundation Group of Institutions
Dongguk University
Charotar University of Science and Technology
International College of Engineering

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We establish a result for the product of two operators defined on a Lie algebra of endomorphisms of a vector space. Then we use this result to derive some properties for Gegenbauer polynomials, for example, Rodrigues formula. The method developed here is potentially useful to investigate some other special functions of mathematical physics.

Original language	English
Pages (from-to)	1031-1037
Number of pages	7
Journal	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Volume	111
Issue number	4
DOIs	https://doi.org/10.1007/s13398-016-0343-x
State	Published - 1 Oct 2017
Externally published	Yes

Keywords

Endomorphism
Gegenbauer polynomials
Legendre polynomials
Lie algebra
Rodrigues formula

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10.1007/s13398-016-0343-x

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abstract = "We establish a result for the product of two operators defined on a Lie algebra of endomorphisms of a vector space. Then we use this result to derive some properties for Gegenbauer polynomials, for example, Rodrigues formula. The method developed here is potentially useful to investigate some other special functions of mathematical physics.",

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AU - Choi, Junesang

AU - Kachhia, Krunal B.

AU - Agarwal, Praveen

PY - 2017/10/1

Y1 - 2017/10/1

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AB - We establish a result for the product of two operators defined on a Lie algebra of endomorphisms of a vector space. Then we use this result to derive some properties for Gegenbauer polynomials, for example, Rodrigues formula. The method developed here is potentially useful to investigate some other special functions of mathematical physics.

KW - Endomorphism

KW - Gegenbauer polynomials

KW - Legendre polynomials

KW - Lie algebra

KW - Rodrigues formula

UR - https://www.scopus.com/pages/publications/85028391223

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ER -

Certain properties of Gegenbauer polynomials via Lie algebra

Abstract

Keywords

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