| Autor: |
Galue, Leda, Kalla, Shyam L., Kiryakova, Virginia |
| Předmět: |
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| Zdroj: |
Algebras, Groups & Geometries; Jun2024, Vol. 40 Issue 1, p79-101, 23p |
| Abstrakt: |
The hypergeometric functions occur naturally in variety of problems in analysis, statistics, operational research, theoretical and mathematical physics and engineering sciences. In the physical problems where these special functions occur, sometimes it is required to have their first approximations. In the advance analysis of a given problem, we need to dispose with some simple but sufficiently accurate algorithms for the approxima-. tions of the hypergeometric functions. In this paper we present some series and integral representations of them and discuss several simply-structured single term approximation formulae: for the Hubbell type radiation integrals, generalized hypergeometric functions and Appell's functions. We propose also a new approach to estimate the pFq-functions by relating them to three simple elementary functions. The notions generalized (multiple) fractional integrals and derivatives are used. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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