Entire function

Function that is holomorphic on the whole complex plane

In complex analysis, an entire function, also called an integral function, is a complex-valued function that is holomorphic on the whole complex plane. Typical examples of entire functions are polynomials and the exponential function, and any finite sums, products and compositions of these, such as the trigonometric functions, as well as derivatives and antiderivatives of entire functions. Entire functions correspond exactly to Taylor series converging on the whole complex plane.

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