Finite Representations of the Wright Function
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...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-01-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/8/2/88 |
| _version_ | 1797298200530386944 |
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| author | Dimiter Prodanov |
| author_facet | Dimiter Prodanov |
| author_sort | Dimiter Prodanov |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-07T22:31:39Z |
| format | Article |
| id | doaj.art-68ed7ba667c845e0811ff0b5003c30bd |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-07T22:31:39Z |
| publishDate | 2024-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-68ed7ba667c845e0811ff0b5003c30bd2024-02-23T15:17:10ZengMDPI AGFractal and Fractional2504-31102024-01-01828810.3390/fractalfract8020088Finite Representations of the Wright FunctionDimiter Prodanov0Laboratory of Neurotechnology (PAML-LN), Institute for Information and Communication Technologies (IICT), Bulgarian Academy of Sciences, 1113 Sofia, BulgariaThe 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.https://www.mdpi.com/2504-3110/8/2/88Wright functionhypergeometric functionBessel functionError functionAiry functionGaussian function |
| spellingShingle | Dimiter Prodanov Finite Representations of the Wright Function Fractal and Fractional Wright function hypergeometric function Bessel function Error function Airy function Gaussian function |
| title | Finite Representations of the Wright Function |
| title_full | Finite Representations of the Wright Function |
| title_fullStr | Finite Representations of the Wright Function |
| title_full_unstemmed | Finite Representations of the Wright Function |
| title_short | Finite Representations of the Wright Function |
| title_sort | finite representations of the wright function |
| topic | Wright function hypergeometric function Bessel function Error function Airy function Gaussian function |
| url | https://www.mdpi.com/2504-3110/8/2/88 |
| work_keys_str_mv | AT dimiterprodanov finiterepresentationsofthewrightfunction |