On Extension of Generalized Laguerre Polynomials of Two Variable

الموضوعات : فصلنامه ریاضی

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

تاريخ الإرسال : 03 الثلاثاء , شوال, 1441 تاريخ التأكيد : 03 الثلاثاء , ربيع الأول, 1442 تاريخ الإصدار : 16 الثلاثاء , ربيع الثاني, 1442

الکلمات المفتاحية: generalized Laguerre polynomials, generating functions, Beta function, Summation formulae,

ملخص المقالة :

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.