Some results involving Hermite-base polynomials and functions using operational methods

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摘要

This paper is an attempt to stress the usefulness of the operational methods in the theory of special functions. Using operational methods, we derive summation formulae and generating relations involving various forms of Hermite-base polynomials and functions.

论文关键词:Exponential operators,Hermite–Laguerre polynomials,Hermite–Tricomi functions,Operational rules

论文评审过程:Available online 30 October 2009.

论文官网地址:https://doi.org/10.1016/j.amc.2009.10.045