A property of the Taylor coefficients
β Scribed by E. M. Nikishin
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1981
- Tongue
- English
- Weight
- 97 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We study the connections between the Taylor coefficients at zero of a pseudoβexponential potential of a canonical system and the reflection coefficient of the system determined by this potential. This connection is expressed explicitly. The main result of this paper provides a character
There exists a power series f 0 (z)= &=0 a & z & with radius of convergence 1, such that, for every bounded simply connected domain G, G & [z # C : |z| 1]=< and for every function f : G Γ C holomorphic in G ( f # H(G )), there exists a strictly increasing sequence n k # [0, 1, 2, ...] such that \_ n
## Improved Bounds for Taylor Coefficients of Analytic Functions The practical computation of verified bounds for Taylor coefficients of analytic functions is considered. Using interval arithmetic, the bounds are constructed from Cauchy's estimate and from some of its modifications. By employing t