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Derivatives of continued fractions with applications to hypergeometric functions

โœ Scribed by Haakon Waadeland


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
465 KB
Volume
19
Category
Article
ISSN
0377-0427

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๐Ÿ“œ SIMILAR VOLUMES


On the convergence of continued radicals
โœ R.I. Andrushkiw ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 323 KB

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

Asymptotic expansions for Riesz fraction
โœ Nico M. Temme; Vladimir Varlamov ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 819 KB

## 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