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Derivatives Cauchy

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4 Cauchy’s integral formula - MIT Mathematics

4 Cauchy’s integral formula - MIT Mathematics

math.mit.edu

4.3 Cauchy’s integral formula for derivatives Cauchy’s integral formula is worth repeating several times. So, now we give it for all derivatives f(n)(z) of f. This will include the formula for functions as a special case. Theorem 4.5. Cauchy’s integral formula for derivatives.If f(z) and Csatisfy the same

  Derivatives, Cauchy, Derivatives cauchy

Complex Analysis and Conformal Mapping

Complex Analysis and Conformal Mapping

www-users.cse.umn.edu

For example, the monomial function f(z) = z3 can be expanded and written as z3 = (x+ iy)3 = (x3 − 3xy2)+ i(3x2y−y3), and so Re z3 = x3 −3xy2, Imz3 = 3x2y−y3. Many of the well-known functions appearing in real-variable calculus — polynomials, rational functions, exponentials, trigonometric functions, logarithms, and many more —

  Mapping, Conformal, Conformal mapping

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