ACETAF: A software package for computing validated bounds for Taylor coefficients of analytic functions

被引：5

作者：

Eble, I ^{[1
]}

Neher, M ^{[1
]}

机构：

[1] Univ Karlsruhe, Inst Angew Math, D-76128 Karlsruhe, Germany

来源：

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE | 2003年 / 29卷 / 03期

关键词：

algorithms; reliability; verification; analytic functions; bounds for Taylor coefficients;

D O I：

10.1145/838250.838252

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

This article presents methods for practical computation of verified bounds for Taylor coefficients of analytic functions. These bounds are constructed from Cauchy's estimate and from some of its modifications. Interval arithmetic is used to obtain rigorous results.

引用

页码：263 / 286

页数：24

共 30 条

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Neher, M.
2001, Kluwer Academic Publishers (07)
[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
Neher, M
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[8] COEFFICIENTS BOUNDS IN SOME SUBCLASS OF ANALYTIC FUNCTIONS
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[9] Bounds of Coefficients for Classes of Analytic Functions Related to Hypergeometric Functions
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[10] An integral formula for Taylor coefficients of a class of analytic functions
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