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 ...
JSTOR Daily

Further Generalizations of the Cauchy Integral Formula

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.
JSTOR Daily

An Elementary Integral Solution Operator for the Cauchy-Riemann Equations on Pseudoconvex Domains in $C^n$

Transactions of the American Mathematical Society, Vol. 274, No. 2 (Dec., 1982), pp. 809-816 (8 pages) An integral representation formula for $(0, q)$ forms is ...
IEEE

Improved contour integral methods for parabolic PDEs

Abstract: One way of computing the matrix exponential that arises in semidiscrete parabolic partial differential equations is via the Dunford–Cauchy integral formula. The integral is approximated by ...
IEEE

Effects of Cauchy Integral Formula Discretization on the Precision of IF Estimation: Unified Approach to Complex-Lag Distribution and its Counterpart L-Form

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 ...