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http://dx.doi.org/10.4134/CKMS.c200208

A GENERALIZATION OF THE LAGUERRE POLYNOMIALS  

Ali, Asad (Department of Mathematics and Statistics University of Agriculture Faisalabad)
Publication Information
Communications of the Korean Mathematical Society / v.36, no.2, 2021 , pp. 299-312 More about this Journal
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.
Keywords
Laguerre polynomials; generalized polynomials; generalized hypergeometric series; generating functions; recurrence relations; differential equation; Rodrigues formula; orthogonality;
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Times Cited By KSCI : 1  (Citation Analysis)
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