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

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  • Andriy Bandura
  • Oleh Skaskiv

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.

Suggested Citation

  • Andriy Bandura & Oleh Skaskiv, 2017. "Entire Functions of Bounded L-Index: Its Zeros and Behavior of Partial Logarithmic Derivatives," Journal of Complex Analysis, Hindawi, vol. 2017, pages 1-10, November.
    • Handle: RePEc:hin:jnljca:3253095
    DOI: 10.1155/2017/3253095
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