Hermite-based Appell polynomials: Properties and applications |
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| Authors: | Subuhi Khan Ghazala Yasmin Nader Ali Makboul Hassan |
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| Affiliation: | a Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India
b Women's College, Aligarh Muslim University, Aligarh-202002, India |
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| Abstract: | By employing certain operational methods, the authors introduce Hermite-based Appell polynomials. Some properties of Hermite-Appell polynomials are considered, which proved to be useful for the derivation of identities involving these polynomials. The possibility of extending this technique to introduce Hermite-based Sheffer polynomials (for example, Hermite-Laguerre and Hermite-Sister Celine's polynomials) is also investigated. |
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| Keywords: | Operational methods Appell polynomials Hermite-based Appell polynomials |
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