Entire Functions of Bounded L-Index: Its Zeros and Behavior of Partial Logarithmic Derivatives. (6th November 2017)

• Record Type: Journal Article
• Authors: Bandura, Andriy; Skaskiv, Oleh
• Other Names: Kanas Stanislawa Academic Editor.
• Is Part Of: Journal of complex analysis. Volume 2017(2017)
• Publication Date: 2017-11-06
• Subjects: Functions of complex variables -- Periodicals; Mathematical analysis -- Periodicals; 515.905
• DOI: 10.1155/2017/3253095
• Languages: English
• ISSNs: 2314-4963

Abstract

Abstract : In this paper, we obtain new sufficient conditions of boundedness of L -index in joint variables for entire function in C n 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.