Derivatives on HP 42S

08252018, 09:20 PM
Post: #18




RE: Derivatives on HP 42S
(08252018 08:00 PM)Thomas Klemm Wrote:(08252018 07:03 PM)Albert Chan Wrote: If x < 0 and y is odd integer, return (x) ^ (1/y), else x ^ (1/y)Unfortunately \(x=\Re[z]\) and \(y=\Im[z]\) aren't analytic functions. Can you explain the word analytic ? Is this the cost of using complex numbers ? (even using the real part not allowed ?) Is f(x) = x^(1/3) an analytic function ? If x is complex, is it true that f(x) same as f(x) ? Googling "function not analytical": A complex function is said to be analytic on a region if it is complex differentiable at every point in. The terms holomorphic function, differentiable function, and complex differentiable function are sometimes used interchangeably with "analytic function" (Krantz 1999, p. 16). After above googling, click the graph, you get wikipedia explanation: nonanalytic smooth function is a smooth function which is nowhere real analytic 

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