On a functional equation for the exponential function of a complex variable
Copyright policy )On a functional equation for the exponential function of a complex variable
The following result is well known in the theory of analytic functions; see [1].Theorem A. Suppose that f(z) is an entire function of a complex variable z. Then f(z) satisfies the functional equationwhere z = x + iy (x, y real), if and only if f(z) = aexp(sz), where a is an arbitrary complex constant and s is an arbitrary real constant.
- University of Waterloo Canada
Representations of entire functions of one complex variable by series and integrals, Functional equations for complex functions, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable
Representations of entire functions of one complex variable by series and integrals, Functional equations for complex functions, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable
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