Derivatives of continued fractions with applications to hypergeometric functions
โ Scribed by Haakon Waadeland
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 465 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The class of continued radicals r,J(ar +?/(a, +Iq(a, + . . .))) is investigated for the case where a, > O,r, > 2. Results concerning the convergence of continued radicals are obtained and an error estimate is givenfor the approximating sequence t, = 'q(al +';/(a, + ... +';/(a.))), n = 1,2,. . , in
## Riesz fractional derivatives of a function, D ฮฑ 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