Some properties of Hermite-based Sheffer polynomials

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• 作者：Subuhi Khan ; Mustafa Walid Al-Saad ; Ghazala Yasmin
• 关键词：Monomiality principle ; Hermite polynomials ; Sheffer polynomials ; Hermite– ; Sheffer polynomials
• 刊名：Applied Mathematics and Computation
• 出版年：2010
• 出版时间：1 November 2010
• 年：2010
• 卷：217
• 期：5
• 页码：2169-2183
• 全文大小：258 K

文摘

In this paper, the concepts and the formalism associated with monomiality principle and Sheffer sequences are used to introduce family of Hermite-based Sheffer polynomials. Some properties of Hermite–Sheffer polynomials are considered. Further, an operational formalism providing a correspondence between Sheffer and Hermite–Sheffer polynomials is developed. Furthermore, this correspondence is used to derive several new identities and results for members of Hermite–Sheffer family.