Results 151 to 160 of about 12,887 (176)

Cauchy’s residue theorem

1992
Abstract This chapter continues the study of singularities and extends in a significant way the techniques stemming from Cauchy’s theorem for evaluating the integral of a function round a contour. The following lemma comes directly out of Laurent’s theorem and the Deformation theorem: it gives an integral formula for the ...
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Contour Integration and Consequences of Cauchy's Residue Theorem in Mathematical Physics

Mikailalsys Journal of Advanced Engineering International
This research presents an in-depth exploration of contour integration and the applications of Cauchy’s Residue Theorem within the field of complex analysis, with particular attention to their relevance in mathematical physics. The study begins by establishing a rigorous theoretical foundation, addressing key concepts such as analytic functions ...
Babawuro Zuwaira, Adamu Muhammad Sanda, Manjak Nibron Haggai, Ndam George Shehu   +3 more
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Cauchy’s Residue Theorem and Its Application

Science and Technology of Engineering, Chemistry and Environmental Protection
One of the key theorems in complex analysis, Cauchy’s Residue Theorem, which refers to the integral value of an analytic function along any simple closed contour surrounding an isolated singularity in a certain ring domain divided by 2πi, will greatly simplify the process of computing integrals on contour surrounding singularities.
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Cauchy’s residue theorem for a class of real integrals

2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), 2022
Zheng Tan, Pengfei Wang, Xiaoying Wang
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Deductions, Applications and Expansion of the Cauchy’s Residue Theorem

Science and Technology of Engineering, Chemistry and Environmental Protection
Cauchy’s integral formula is one of the most important discovery in the development history of the complex variable integration. This article focuses on the methods of the integration in mathematics. The author aims to write about how to deduce the residue theorem from Cauchy’s integral formula and how to use the Cauchy’s integral theorem and residue ...
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A Robust AC System Frequency Estimation Method based on Cauchy's Residue Theorem

2021 23rd European Conference on Power Electronics and Applications (EPE'21 ECCE Europe), 2021
Pablo Briff, Julian Freytes
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No scalar-haired Cauchy horizon theorem in Einstein-Maxwell-Horndeski theories

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 2022
Mu-In Park
exaly  

Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space

Applicable Analysis, 1991
Donal O'regan
exaly  

Many-dimensional version of cauchy's theorem on residues

Mathematical Notes of the Academy of Sciences of the USSR, 1991
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The Cauchy interlacing theorem in simple Euclidean Jordan algebras and some consequences

Linear and Multilinear Algebra, 2011
M Seetharama Gowda
exaly