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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

Keyword : Mergelyan theorem, periodic Hurwitz zeta-function, periodic zeta-function, Rouche theorem, universality

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
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Jan 1, 2019
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References

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A. Laurinčikas. Joint discrete universality for periodic zeta-functions. Quaest. Math., 2018. https://doi.org/10.2989/16073606.2018.1481891.

S.N. Mergelyan. Uniform approximations to functions of complex variable. Usp. Mat. Nauk., 7:31-122, 1952 (in Russian).

D. Sarason. Complex Function Theory. Amer. Math. Soc., 2007.