On Extension of Generalized Laguerre Polynomials of Two Variable

محورهای موضوعی : فصلنامه ریاضی

Ahmed Al-Gonah ¹ (Department of Mathematics, Faculty of Science, Aden University, Aden, Yemen)

تاریخ دریافت : 1399/03/06 تاریخ پذیرش : 1399/07/29 تاریخ انتشار : 1399/09/11

کلید واژه: generalized Laguerre polynomials, generating functions, Beta function, Summation formulae,

چکیده مقاله :

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.