Results 11 to 20 of about 12,887 (176)
Non-Integer Valued Winding Numbers and a Generalized Residue Theorem
Journal of Mathematics, 2019 We define a generalization of the winding number of a piecewise C1 cycle in the complex plane which has a geometric meaning also for points which lie on the cycle.
Norbert Hungerbühler, Micha Wasem
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Taylor expansion and the Cauchy Residue Theorem for finite-density QCD [PDF]
Proceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018), 2018 We present an update on our efforts to determine the Taylor coefficients of the $\mu/T$ expansion of the pressure for finite-density QCD. Here, we explore alternatives based on the Cauchy Residue Theorem, which allows us to use a discretized contour to ...
de Forcrand, Philippe, Jäger, Benjamin
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A Formal Proof of Cauchy’s Residue Theorem [PDF]
Lecture Notes in Computer Science, 2016 We present a formalization of Cauchy’s residue theorem and two of its corollaries: the argument principle and Rouché’s theorem. These results have applications to verify algorithms in computer algebra and demonstrate Isabelle/HOL’s complex analysis library.
Li, W, Paulson, LC
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Axioms, 2022 In this paper, the Fourier series expansion of Tangent polynomials of higher order is derived using the Cauchy residue theorem. Moreover, some variations of higher-order Tangent polynomials are defined by mixing the concept of Tangent polynomials with ...
Cristina Bordaje Corcino +1 more
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A Novel Approach in Solving Improper Integrals
Axioms, 2022 To resolve several challenging applications in many scientific domains, general formulas of improper integrals are provided and established for use in this article.
Mohammad Abu-Ghuwaleh +2 more
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General Master Theorems of Integrals with Applications
Mathematics, 2022 Many formulas of improper integrals are shown every day and need to be solved in different areas of science and engineering. Some of them can be solved, and others require approximate solutions or computer software.
Mohammad Abu-Ghuwaleh +2 more
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New Theorems in Solving Families of Improper Integrals
Axioms, 2022 Many improper integrals appear in the classical table of integrals by I. S. Gradshteyn and I. M. Ryzhik. It is a challenge for some researchers to determine the method in which these integrations are formed or solved. In this article, we present some new
Mohammad Abu Ghuwaleh +2 more
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Finding the Zeros of a High-Degree Polynomial Sequence
Journal of Optimization, Differential Equations and Their Applications, 2021 A 1-parameter initial-boundary value problem for a linear spatially 1-dimensional homogeneous degenerate wave equation, posed in a space-time rectangle, in case of strong degeneracy, was reduced to a linear integro-differential equation of convolution ...
Vladimir L. Borsch, Peter I. Kogut
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Relationship Between Cauchy Integral Theorem and Residue Theorems
Highlights in Science, Engineering and Technology, 2023 Cauchy integral theorem belongs to an extremely important part of complex functions, which is a fundamental bridge, and people can derive Cauchy integral theorem from the residue theorem. Cauchy's integral theorem is generally applied in many higher mathematics, is an important theorem concerning path integrals of fully pure functions.
Jiaming Guo, Biran Song
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Mathematical and Computational Applications, 2022 In this paper, we focus on investigating the performance of the mathematical software program Maple and the programming language MATLAB when using these respective platforms to compute the method of steps (MoS) and the Laplace transform (LT) solutions ...
Michelle Sherman +2 more
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