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

Andriy Bandura | Zendy; О. Б. Скасків | Zendy

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

Author(s) -

Andriy Bandura,

О. Б. Скасків

Publication year - 2017

Publication title -

journal of complex analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.167

H-Index - 7

eISSN - 2314-4963

pISSN - 2314-4971

DOI - 10.1155/2017/3253095

Subject(s) - algorithm , artificial intelligence , mathematics , computer science

In this paper, we obtain new sufficient conditions of boundedness of L-index in joint variables for entire function in Cn 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 l-index in C too. They generalize known results of Fricke, Sheremeta, and Kuzyk

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