On some generating functions for the extended generalized Hermite polynomials
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摘要
In a recent paper [G.C. Greubel, On some extensions and generating functions for the generalized Hermite polynomials associated with functions of parabolic cylinder (to be submitted)] the generalized Hermite polynomials of Wünsche were extended. In this work we derive several generating functions for the extended Hermite polynomials in terms of generalized Lauricella functions. In part I we derive several generating functions. In part II we derive an explicit relation for the extended generalized Hermite polynomials in terms of the Lauricella function.
论文关键词:Extended generalized Hermite polynomials,Generalized Lauricella functions
论文评审过程:Available online 20 June 2005.
论文官网地址:https://doi.org/10.1016/j.amc.2005.04.055