Generalized and mixed type Gegenbauer polynomials
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- 作者：Subuhi Khan ; subuhi2006@gmail.com ; Ahmed Ali Al-Gonah ; Ghazala Yasmin
- 关键词：Gegenbauer polynomials ; Integral representations ; Operational methods ; Hermite&ndash ; Gegenbauer polynomials ; Laguerre&ndash ; Gegenbauer polynomials
- 刊名：Journal of Mathematical Analysis and Applications
- 出版年：2012
- 出版时间：1 June 2012
- 年：2012
- 卷：390
- 期：1
- 页码：197-207
- 全文大小：175 K
文摘
In this paper, a new generalized form of the Gegenbauer polynomials is introduced by using the integral representation method. Further, the Hermite-Gegenbauer and the Laguerre-Gegenbauer polynomials are introduced by using the operational identities associated with the generalized Hermite and Laguerre polynomials of two variables.