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Validated Bounds for Taylor Coefficients of Analytic Functions

โœ Scribed by Markus Neher

Book ID
110301302
Publisher
Springer
Year
2001
Tongue
English
Weight
106 KB
Volume
7
Category
Article
ISSN
1385-3139

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๐Ÿ“œ SIMILAR VOLUMES

Improved Bounds for Taylor Coefficients
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โœ M. Neher ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› John Wiley and Sons โš– 101 KB ๐Ÿ‘ 2 views

## 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

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In this paper, we prove that for a function such that 1 y z f z ยช 0 as z ยช 1 and for large z , f z s o z for some k, the Taylor coefficients a have the integral representation n