Entire Functions of Bounded L-Index: Its Zeros and Behavior of Partial Logarithmic Derivatives

Andriy Bandura and Oleh Skaskiv

Journal of Complex Analysis, 2017, vol. 2017, 1-10

Abstract:

In this paper, we obtain new sufficient conditions of boundedness of -index in joint variables for entire function in functions. They give an estimate of maximum modulus of an entire function by its minimum modulus on a skeleton in a polydisc and describe the behavior of all partial logarithmic derivatives and the distribution of zeros. In some sense, the obtained results are new for entire functions of bounded index and -index in too. They generalize known results of Fricke, Sheremeta, and Kuzyk.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljca:3253095

DOI: 10.1155/2017/3253095

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