Logarithmic derivative of an entire function
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- by Morris Marden PDF
- Proc. Amer. Math. Soc. 28 (1971), 513-518 Request permission
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 $f’/f$.References
- Morris Marden, On the derivative of an entire function, Proc. Amer. Math. Soc. 19 (1968), 1045–1051. MR 231996, DOI 10.1090/S0002-9939-1968-0231996-0
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 513-518
- MSC: Primary 30.57
- DOI: https://doi.org/10.1090/S0002-9939-1971-0276470-0
- MathSciNet review: 0276470