Article
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Preserved in Portico This version is not peer-reviewed
Finite Representations of theWright Function
Version 1
: Received: 20 December 2023 / Approved: 25 December 2023 / Online: 25 December 2023 (12:24:04 CET)
A peer-reviewed article of this Preprint also exists.
Prodanov, D. Finite Representations of the Wright Function. Fractal Fract. 2024, 8, 88. Prodanov, D. Finite Representations of the Wright Function. Fractal Fract. 2024, 8, 88.
Abstract
The two-parameter Wright special function is an interesting mathematical object that arises in the theory of the space and time-fractional diffusion equations. Moreover, many other special functions are particular instantiations of the Wright function. The article demonstrates finite representations of the Wright function in terms of sums of generalized hypergeometric functions, which in turn provide connections with the theory of the Gaussian, Airy, Bessel, and Error functions, etc. The main application of the presented results is envisioned in computer algebra for testing numerical algorithms for the evaluation of the Wright function.
Keywords
Wright function; hypergeometric function; Bessel function; Error function; Airy function; Gaussian function
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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