Ponnusamy complex analysis solutions

  • What is an analytic function in complex analysis problems?

    A function f(z) is said to be analytic in a region R of the complex plane if f(z) has a derivative at each point of R and if f(z) is single valued.
    A function f(z) is said to be analytic at a point z if z is an interior point of some region where f(z) is analytic..

  • If the limit of a real function f as x approaches the point x0 exists and agrees with the value of the function f at x0, then we say that f is continuous at the point x0.
    Continuity of a Real Function f (x) A function f is continuous at a point x0 if limx→x0 f (x) = f (x0).
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