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arXiv · 2111.03510

Wright functions of the second kind and Whittaker functions

Francesco Mainardi·Richard B. Paris·Armando Consiglio
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Abstract

In the framework of higher transcendental functions the Wright functions of the second kind have increased their relevance resulting from their applications in probability theory and, in particular, in fractional diffusion processes. Here, these functions are compared with the well-known Whittaker functions in some special cases of fractional order. In addition, we point out two erroneous representations in the literature.

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Francesco Mainardi, Richard B. Paris, Armando Consiglio. 2021-11-05. Wright functions of the second kind and Whittaker functions. https://doi.org/10.1007/s13540-022-00042-2

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