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New fixed points of mixed monotone operators with applications to nonlinear integral equations. [PDF]
PLoS OneXu S, Han Y, Lin S, Zhou G.
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Hyperbolic P ( Φ ) 2 -model on the Plane. [PDF]
Commun Math PhysOh T, Tolomeo L, Wang Y, Zheng G.
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Almost Sure GOE Fluctuations of Energy Levels for Hyperbolic Surfaces of High Genus. [PDF]
Ann Henri PoincareRudnick Z, Wigman I.
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2011
In this lecture, we shall present Cauchy’s integral formula that expresses the value of an analytic function at any point of a domain in terms of the values on the boundary of this domain, and has numerous important applications. We shall also prove a result that paves the way for the Cauchy’s integral formula for derivatives given in the next lecture.
Ravi P. Agarwal +2 more
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In this lecture, we shall present Cauchy’s integral formula that expresses the value of an analytic function at any point of a domain in terms of the values on the boundary of this domain, and has numerous important applications. We shall also prove a result that paves the way for the Cauchy’s integral formula for derivatives given in the next lecture.
Ravi P. Agarwal +2 more
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Mathematical Notes of the Academy of Sciences of the USSR, 1976
We examine a Cauchy-type LG* integral. We give the characteristics of the class of functions representable by such an integral and prove that this class coincides with the class of functions representable by the Cauchy LG* integral [3].
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We examine a Cauchy-type LG* integral. We give the characteristics of the class of functions representable by such an integral and prove that this class coincides with the class of functions representable by the Cauchy LG* integral [3].
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Canadian Mathematical Bulletin, 1967
It could perhaps be reasonably maintained that for most students of calculus the definite integral is in fact the Cauchy Integral. That is to say, where F is a primitive of f.If done heuristically, the discussion of the Riemann integral serves two purposes. Firstly, it indicates that every continuous function has a primitive.
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It could perhaps be reasonably maintained that for most students of calculus the definite integral is in fact the Cauchy Integral. That is to say, where F is a primitive of f.If done heuristically, the discussion of the Riemann integral serves two purposes. Firstly, it indicates that every continuous function has a primitive.
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Cauchy–Hadamard integral with applications
Monatshefte für Mathematik, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boris A. Kats, David B. Katz
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Split Octonionic Cauchy Integral Formula
Advances in Applied Clifford Algebras, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The College Mathematics Journal, 1990
Our purpose in this note is to illustrate the Cauchy integral formula and the concept of winding number. The software we use is fiz), ver. 4.0, Martin Lapidus, Lascaux Graphics, Bronx, NY, 1988. Many mathematicians and most students are at a loss to picture the graph of even the most elementary complex function.
David P. Kraines +2 more
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Our purpose in this note is to illustrate the Cauchy integral formula and the concept of winding number. The software we use is fiz), ver. 4.0, Martin Lapidus, Lascaux Graphics, Bronx, NY, 1988. Many mathematicians and most students are at a loss to picture the graph of even the most elementary complex function.
David P. Kraines +2 more
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1988
For functions of a complex variable there is a known Cauchy integral theorem which is formulated as follows. Let L be a smooth closed curve (contour). Hereinafter the term smooth curve (contour) covers a simple (i.e., having no points of self-intersection) closed or open line with a slip tangent and with no cusps.
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For functions of a complex variable there is a known Cauchy integral theorem which is formulated as follows. Let L be a smooth closed curve (contour). Hereinafter the term smooth curve (contour) covers a simple (i.e., having no points of self-intersection) closed or open line with a slip tangent and with no cusps.
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