Abstract
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.
Publisher
Cambridge University Press (CUP)
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1. A new functional equation characterizing generalized Joukowski transformations;Aequationes Mathematicae;1987-12
2. Bibliography;An Introduction to Classical Complex Analysis;1979