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A generalization of the Laguerre polynomials

Asad Ali
대한수학회 (The Korean Mathematical Society)|2021.04|대한수학회논문집 (Communications of the KMS)|제36권 제2호|pp. 299-312|DOI 10.4134/CKMS.c200208

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참고문헌

키워드

recurrence relationsLaguerre polynomialsdifferential equationgenerating functionsgeneralized polynomialsgeneralized hypergeometric seriesRodrigues formulaorthogonality
주제분류수학

초록

The main aim of this paper is to introduce and study the generalized Laguerre polynomials and prove that these polynomials are characterized by the generalized hypergeometric function. Also we investigate some properties and formulas for these polynomials such as explicit representations, generating functions, recurrence relations, differential equation, Rodrigues formula, and orthogonality.

Abstract

The main aim of this paper is to introduce and study the generalized Laguerre polynomials and prove that these polynomials are characterized by the generalized hypergeometric function. Also we investigate some properties and formulas for these polynomials such as explicit representations, generating functions, recurrence relations, differential equation, Rodrigues formula, and orthogonality.

참고문헌 (18)

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