On Extension of Generalized Laguerre Polynomials of Two Variable

Subject Areas : International Journal of Mathematical Modelling & Computations

Ahmed Al-Gonah ^{1 *}

1 - Department of Mathematics, Faculty of Science, Aden University, Aden, Yemen

Received: 2020-05-26 Accepted : 2020-10-20 Published : 2020-12-01

Keywords: generalized Laguerre polynomials, generating functions, Beta function, Summation formulae,

Abstract :

In this paper, we introduce a new extension of generalized Laguerre polynomials of two variable by using the extended Beta function. Some properties of these extension polynomials such as generating functions, integral representation, recurrencerelations and summation formulae are obtained.