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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Logarithmic derivative of an entire function


Author: Morris Marden
Journal: Proc. Amer. Math. Soc. 28 (1971), 513-518
MSC: Primary 30.57
MathSciNet review: 0276470
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Abstract: A representation for the logarithmic derivative $ (f'/f)$ of an entire function $ f$ of finite order, parametrically in terms of some zeros and critical points of $ f$, is derived from the Hadamard representation and applied to Lucas' type theorems and to growth estimates of $ f'/f$.


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DOI: https://doi.org/10.1090/S0002-9939-1971-0276470-0
Keywords: Hadamard representation, Lucas' theorem, growth order of logarithmic derivative, Lagrange interpolation formula
Article copyright: © Copyright 1971 American Mathematical Society