## H-functions a b s t r a c t We propose a unified approach to the so-called Special Functions of Fractional Calculus (SFs of FC), recently enjoying increasing interest from both theoretical mathematicians and applied scientists. This is due to their role as solutions of fractional order different
Fractional calculus and expansions of incomplete gamma functions
β Scribed by R.N. Kalia; Sandra Keith
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 156 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0893-9659
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π SIMILAR VOLUMES
## Riesz fractional derivatives of a function, D Ξ± x f (x) (also called Riesz potentials), are defined as fractional powers of the Laplacian. Asymptotic expansions for large x are computed for the Riesz fractional derivatives of the Airy function of the first kind, Ai(x), and the Scorer function, G
The main subject of this paper is the analysis of asymptotic expansions of Wallis quotient function Ξ (x+t) Ξ (x+s) and Wallis power function , when x tends to infinity. Coefficients of these expansions are polynomials derived from Bernoulli polynomials. The key to our approach is the introduction