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- Title
Sinc Numeric Methods for Fox-H, Aleph (ℵ), and Saxena-I Functions.
- Authors
Baumann, Gerd; Südland, Norbert
- Abstract
The purpose of this study is to offer a systematic, unified approach to the Mellin-Barnes integrals and associated special functions as Fox H, Aleph ℵ, and Saxena I function, encompassing the fundamental features and important conclusions under natural minimal assumptions on the functions in question. The approach's pillars are the concept of a Mellin-Barnes integral and the Mellin representation of the given function. A Sinc quadrature is used in conjunction with a Sinc approximation of the function to achieve the numerical approximation of the Mellin-Barnes integral. The method converges exponentially and can handle endpoint singularities. We give numerical representations of the Aleph ℵ and Saxena I functions for the first time.
- Subjects
GALERKIN methods; NUMERICAL functions; INTEGRAL representations; DEFINITE integrals; COLUMNS
- Publication
Fractal & Fractional, 2022, Vol 6, Issue 8, p449
- ISSN
2504-3110
- Publication type
Article
- DOI
10.3390/fractalfract6080449