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Ray Transform of Symmetric Tensor Fields on Riemannian Manifolds with Conjugate Points. [PDF]
Holman S, Krishnan VP.
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Gradient regularity for widely degenerate elliptic partial differential equations. [PDF]
Strunk M.
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The Laurent Expansion Without Cauchy's Integral Theorem [PDF]
Since Cauchy's time the theory of analytic functions of a complex variable has depended on complex integration theory, and in particular on the fundamental integral theorem (1825) and integral formulas bearing his name. Cauchy defined an analytic function to be one which had a continuous first derivative in a region D, and showed that an analytic ...
Paul R. Beesack
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On Cauchy Integral Theorem for Quaternionic Slice Regular Functions
Complex Analysis and Operator Theory, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J OSCAR González-Cervantes
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Closed-form evaluations of certain definite integrals by employing the Cauchy integral theorem [PDF]
It is shown in this paper, by making use of contour integration and the Cauchy integral theorem, that two general families of definite integrals can be evaluated in closed form and are expressible only in terms of the Hurwitz zeta function and elementary
Djurdje Cvijovic +2 more
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The American Mathematical Monthly, 2007
Theorem. Let D be a domain in the complex plane, f(z) an analytic function in D, C a closed curve that is described by a continuously differentiable function z(s) (0 < s < 1) with z(0) = z(l) and zf(0) = z'(\). Suppose that C is homotopic in D to a point, meaning that there is a continuous function z(s, t) (0 < s < I, 0 < t < 1) with z(0, t) = z(l, t ...
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Theorem. Let D be a domain in the complex plane, f(z) an analytic function in D, C a closed curve that is described by a continuously differentiable function z(s) (0 < s < 1) with z(0) = z(l) and zf(0) = z'(\). Suppose that C is homotopic in D to a point, meaning that there is a continuous function z(s, t) (0 < s < I, 0 < t < 1) with z(0, t) = z(l, t ...
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A Voronovskaya Type Theorem for Poisson–Cauchy Type singular operators [PDF]
In this article we continue with the study of approximation properties of smooth Poisson–Cauchy Type singular integral operators over the real line. We produce Voronovskaya Type results and give some quantitative results regarding the rate of convergence
George A Anastassiou, Răzvan A Mezei
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