Validated bounds for Taylor coefficients of analytic functions

DOI10.1023/A:1011411307404zbMath0987.65027MaRDI QIDQ5946849

Markus Neher

Publication date: 9 June 2002

Published in: Reliable Computing (Search for Journal in Brave)

zbMATH Keywords

analytic functionsCauchy's estimateinterval computingTaylor coefficientsvalidated bounds

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Approximation in the complex plane (30E10) Computation of special functions and constants, construction of tables (65D20) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Algorithms with automatic result verification (65G20)

Related Items (3)

Improved validated bounds for Taylor coefficients and for Taylor remainder series ⋮ A verified method for bounding clusters of zeros of analytic functions ⋮ Verified integration of linear \(n\)th order ODEs using large steps

Uses Software

• PASCAL-XSC

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