On generalization of extended Gegenbauer polynomials of two variables

A. Al-Gonah, Ahmed Ali Atash
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引用次数: 0

Abstract

Recently, many extensions of some special functions are defined by using the extended Beta function. In this paper, we introduce a new generalization of extended Gegenbauer polynomials of two variables by using the extended Gamma function. Some properties of these generalized polynomials such as integral representation, recurrence relation and generating functions are obtained.
二元扩展Gegenbauer多项式的推广
最近,一些特殊函数的许多扩展都是通过使用扩展的Beta函数来定义的。本文利用扩展伽玛函数,给出了二元广义Gegenbauer多项式的一个新的推广。得到了这些广义多项式的一些性质,如积分表示、递推关系和生成函数。
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8 weeks
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