PNAS

On Cauchy's Integral Theorem and on the Law of the Mean for Non-Derivable Functions

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IEEE

3-D Cauchy-type integrals for terrain correction of gravity and gravity gradiometry data

Abstract: Fundamental to complex analysis is the Cauchy integral theorem, and the derivation of Cauchy-type integrals. For over 40 yr, Cauchy-type integrals have been used to describe analytical ...
Scientific Research Publishing

The Rectangle Rule for Computing Cauchy Principal Value Integral on Circle ()

1 School of Science, Shandong Jianzhu University, Jinan, China. 2 School of Mathematics, Shandong University, Jinan, China. 3 School of Science, Shandong University of Technology, Zibo, China. 4 ...
Scientific Research Publishing

The Extension of Cauchy Integral Formula to the Boundaries of Fundamental Domains ()

Glendon College, York University, Toronto, Canada. Although integrals on unbounded contours have been used frequently in complex analysis (see [1], page 214), they have never appeared in the context ...