On discrete value distribution of certain compositions
Abstract
In the paper, we obtain universality theorems and a lower estimate for the number of zeros for the composition F ζ (s, α; a, b) , where F is an operator in the space of analytic functions satisfying the Lipschitz type condition, and ζ (s, α; a, b) is a collection consisting of periodic and periodic Hurwitz zeta-functions.
First Published Online: 21 Nov 2018
Keywords:
Mergelyan theorem, periodic Hurwitz zeta-function, periodic zeta-function, Rouche theorem, universalityHow to Cite
Garbaliauskienė, V., Karaliūnaitė, J., & Macaitienė, R. (2019). On discrete value distribution of certain compositions. Mathematical Modelling and Analysis, 24(1), 34-42. https://doi.org/10.3846/mma.2019.003
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Copyright (c) 2018 The Author(s). Published by Vilnius Gediminas Technical University.
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Published
2019-01-01
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Copyright
Copyright (c) 2018 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Garbaliauskienė, V., Karaliūnaitė, J., & Macaitienė, R. (2019). On discrete value distribution of certain compositions. Mathematical Modelling and Analysis, 24(1), 34-42. https://doi.org/10.3846/mma.2019.003