Validated bounds for Taylor coefficients of analytic functions

被引：7

作者：

Neher, M. ^{[1
]}

机构：

[1] Inst. für Angewandte Mathematik, Universität Karlsruhe, D-76128 Karlsruhe, Germany

来源：

| 2001年 / Kluwer Academic Publishers卷 / 07期

关键词：

D O I：

10.1023/A:1011411307404

中图分类号：

学科分类号：

摘要：

We present methods for the practical computation of verified bounds for Taylor coefficients of analytic functions. The bounds are constructed from Cauchy's estimate and from some of its modifications. Interval arithmetic is used to obtain rigorous results.

引用

共 50 条

[1] ACETAF: A software package for computing validated bounds for Taylor coefficients of analytic functions
Eble, I
Neher, M
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2003, 29 (03): : 263 - 286
[2] Calculable bounds of Taylor coefficients of analytic functions
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ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2001, 81 : S747 - S748
[3] Improved validated bounds for Taylor coefficients and for Taylor remainder series
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[6] On the Taylor coefficients of the composition of two analytic functions
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[7] COEFFICIENTS BOUNDS IN SOME SUBCLASS OF ANALYTIC FUNCTIONS
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[10] Upper bounds of the logarithmic coefficients for some subclasses of analytic functions
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JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)

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