Some presentations, connections and series expansions for the generalized Voigt functions

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摘要

The principal object of this paper is to present a natural further step toward the mathematical properties and presentations concerning the generalized Voigt functions. Recurrence relations, connections, series expansions and integral representations involving classical functions of mathematical physics and hypergeometric series for these functions are established. Some particular cases and consequences of our main results are also considered.

论文关键词:Voigt functions,Bessel functions,Hypergeometric functions

论文评审过程:Available online 24 November 2008.

论文官网地址:https://doi.org/10.1016/j.amc.2008.11.018