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2024 On Defects of Entire Curves of Finite Lower Order
Arnold Kowalski, Ivan I. Marchenko
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Taiwanese J. Math. Advance Publication 1-17 (2024). DOI: 10.11650/tjm/240701

Abstract

In this paper we consider the relationship between the number of separated maximum points of an entire curve and the Baernstein's $T^{*}$-function. The results of Edrei, Goldberg, Krytov, Ostrovskii, Teichmüller are generalized. We also give example showing that the obtained estimate is sharp.

Acknowledgments

The authors would like to thank the referee for valuable comments.

Citation

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Arnold Kowalski. Ivan I. Marchenko. "On Defects of Entire Curves of Finite Lower Order." Taiwanese J. Math. Advance Publication 1 - 17, 2024. https://doi.org/10.11650/tjm/240701

Information

Published: 2024
First available in Project Euclid: 13 August 2024

Digital Object Identifier: 10.11650/tjm/240701

Subjects:
Primary: 30D35 , 32H30
Secondary: 30D30 , 32A22

Keywords: Baernstein's $T^{*}$-function , defects , entire curves , maximum modulus points , Nevanlinna theory , subharmonic functions

Rights: Copyright © 2024 The Mathematical Society of the Republic of China

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