Computation of Nevanlinna characteristic functions derived from generating functions of some special numbers [PDF]
Journal of Inequalities and Applications, 2018 In the present paper, firstly we find a number of poles of generating functions of Bernoulli numbers and associated Euler numbers, denoted by n(a,B) $n ( a,\mathbf{B} ) $ and n(a,E) $n ( a,E ) $, respectively.
Serkan Araci, Mehmet Acikgoz
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On the relation between the Lebesgue integral means and Nevanlinna characteristic of analytic functions in the unit disc [PDF]
Математичні Студії, 2011 The best possible asymptotic estimates for Lebesgue integral means $m_{p}(r,log f), 1 leq p$ of logarithms of analytic functions $f(z)$ in the unit disc in terms of their Nevanlinna characteristic $T(r,f)$ are obtained.
Ya. V. Vasyl’kiv, O. Z. Korenivs’ka
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The Nevanlinna characteristic and maximum modulus of entire functions of finite order with random zeros (in Ukrainian) [PDF]
Математичні Студії, 2011 Let (r_n) be a positive nondecreasing sequence of finite genus tending to +∞ , and (η_n(ω)) be a sequence of independent random variables such that η_n(ω) are uniformly distributed on the circles |z|=r_n. Then for almost all ω the following assertion
Yu. B. Zakharko, Yu. B. Zakharko
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Hurwitz Zeta Function Is Prime
Mathematics, 2023 We proved that the Hurwitz zeta function is prime. In addition, we derived the Nevanlinna characteristic for this function.
Marius Dundulis +3 more
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Complete Nevanlinna-Pick kernels and the characteristic function
Advances in Mathematics, 2023 Final version.
Bhattacharyya, Tirthankar, Jindal, Abhay
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On Some New Results in Large Area Nevanlinna Spaces in the Unit Disk
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2023 The study of various infinite products in various spaces of analytic functions in the unit disk is a well known and well studied problem of complex function theory in the unit disk.
Shamoyan, R., Mihi´c, O.
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Characteristic estimation of differential polynomials
Journal of Inequalities and Applications, 2021 In this paper, we give the characteristic estimation of a meromorphic function f with the differential polynomials f l ( f ( k ) ) n $f^{l}(f^{(k)})^{n}$ and obtain that T ( r , f ) ≤ M N ‾ ( r , 1 f l ( f ( k ) ) n − a ) + S ( r , f ) $$\begin{aligned ...
Min-Feng Chen, Zhi-Bo Huang
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A note on the value distribution of $\phi f^2 f^{(k)}-1$
Математичні Студії, 2021 In this paper, we study the value distribution of the differential polynomial $\varphi f^2f^{(k)}-1$, where $f(z)$ is a transcendental meromorphic function, $\varphi (z)\;(\not\equiv 0)$ is a small function of $f(z)$ and $k\;(\geq 2)$ is a positive ...
P. Sahoo, G. Biswas
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Minimal growth of entire functions with prescribed zeros outside exceptional sets
Математичні Студії, 2022 Let $h$ be a positive continuous increasing to $+\infty$ function on $\mathbb{R}$.
I. Andrusyak, P. Filevych, O. Oryshchyn
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A growth property of the Nevanlinna characteristic [PDF]
Proceedings of the American Mathematical Society, 1970 We prove here a relation between the rate of growth of the Nevanlinna characteristic of a meromorphic function f ( z ) f(z) , the size of a deficient value τ \tau , and the sets where f ( z ) f(z) is close to τ \tau .
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