Cauchy's integral formula is a fundamental theorem in complex analysis that relates the values of a function at a point to its behavior along a closed contour surrounding that point. (f(z)) is an ...

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 ...

Abstract: Lately, the three-dimensional (3-D) analog of the Cauchy integral formula was used for several studies in geophysics and magnetism. In this paper, a simple demonstration of the expression of ...

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 ...

The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field.

Abstract: Effects of Cauchy integral formula discretization on the concentration of time-frequency (TF) distribution are analyzed. As a result of this discretization, new forms of distributions are ...