Unveiling new perspectives of hypergeometric functions using umbral techniques
arxiv(2024)
摘要
The umbral restyling of hypergeometric functions is shown to be a useful and
efficient approach in simplifying the associated computational technicalities.
In this article, the authors provide a general introduction to the umbral
version of Gauss hypergeometric functions and extend the formalism to certain
generalized forms of these functions. It is shown that suggested approach is
particularly efficient for evaluating integrals involving hypergeometric
functions and their combination with other special functions.
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