New extensions of associated Laguerre polynomials
Authors: Ahmed Ali Al-Gonah
Journal: e-Journal of Analysis and Applied Mathematics (e-JAAM), e-ISSN 2544-9990
Volume: 2020 · Pages: 81 - 97
Published Online: 30 Dec 2020
Abstract: The main object of this paper is to present new extensions of associated Laguerre polynomials. Some integral representations, recurrence relations, generating functions and summation formulae are obtained for these new extended Laguerre polynomials.
Keywords: Extended beta function, associated Laguerre polynomials, generating functions, integral formulae