## 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
An Integral Formula for Taylor Coefficients of a Class of Analytic Functions
β Scribed by Titus Hilberdink
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 85 KB
- Volume
- 233
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
In this paper, we prove that for a function
such that 1 y z f z Βͺ 0 as z Βͺ 1 and for large z , f z s o z for some k, the Taylor coefficients a have the integral representation n
π SIMILAR VOLUMES
## Abstract In this paper we introduce the class of differentiable weights __Ο__ in the unit disc π» such that equation image where __L__ is a positive constant. The main result in this paper asserts that if __Ο__ is one of these weights, then the equivalence equation image holds for all 0 < __
## Abstract This paper is a continuation of [6]. Here we construct a CAUCHY integral formula and a POMPEJUβrepresentation for elliptic systems of partial differential equations of first order in __R^n^__, which may be described with the help of a CLIFFORDβalgebra. Moreover we study properties of th