Logarithmic derivative of an entire function
Abstract: A representation for the logarithmic derivative of an entire function of finite order, parametrically in terms of some zeros and critical points of , is derived from the Hadamard representation and applied to Lucas' type theorems and to growth estimates of .
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Keywords: Hadamard representation, Lucas' theorem, growth order of logarithmic derivative, Lagrange interpolation formula
Article copyright: © Copyright 1971 American Mathematical Society