Some properties of Hermite-based Sheffer polynomials |
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| Authors: | Subuhi Khan Mustafa Walid Al-Saad Ghazala Yasmin |
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| Institution: | Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India |
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| Abstract: | 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. |
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| Keywords: | Monomiality principle Hermite polynomials Sheffer polynomials Hermite-Sheffer polynomials |
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