Results 21 to 30 of about 1,591,705 (266)
Axioms, 2021 A refined asymptotics of the Jacobi theta functions and their logarithmic derivatives have been received. The asymptotics of the Nevanlinna characteristics of the indicated functions and the arbitrary elliptic function have been found.
Mykola Korenkov, Yurii Kharkevych
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Entire functions sharing one finite value CM with their shifts and difference operators [PDF]
Mathematica BohemicaWe investigate the uniqueness of an entire function $f(z)$ sharing one finite value CM with its shift and its difference operator, in each case we find that $f(z)=h(z)\beta^{\alpha z/c}$, where $ \alpha\not=0,$ $\beta>1$ and $h(z)$ is a periodic ...
Boudaoud Miloudi
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Composition of entire and analytic functions in the unit ball
Karpatsʹkì Matematičnì Publìkacìï, 2022 In this paper, we investigate a composition of entire function of several complex variables and analytic function in the unit ball. We modified early known results with conditions providing equivalence of boundedness of $L$-index in a direction for such ...
A.I. Bandura, O.B. Skaskiv, I.R. Tymkiv
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On Entire Function Solutions to Fermat Delay-Differential Equations
Axioms, 2022 This paper concerns the existence and precise expression form of entire solutions to a certain type of delay-differential equation. The significance of our results lie in that we generalize and supplement the related results obtained recently.
Xue-Ying Zhang, Ze-Kun Xu, Wei-Ran Lü
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Researches in Mathematics, 2019 Estimates above and estimates below have been obtained for Kolmogorov, linear and Bernshtein average $\nu$-widths on the classes of functions $W^r (\omega^w, \Psi)$, where $r \in \mathbb{N}$, $\omega^w(f)$ is the generalized characteristic of smoothness ...
S.B. Vakarchuk, M.B. Vakarchuk
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Uniqueness of entire functions
Journal of Mathematical Analysis and Applications, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chang, Jianming, Fang, Mingliang
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On properties of the solutions of the Weber equation
Karpatsʹkì Matematičnì Publìkacìï, 2015 Growth, convexity and the $l$-index boundedness of the functions $\alpha(z)$ and $\beta(z)$, such that $\alpha(z^4)$ and $z\beta(z^4)$ are linear independent solutions of the Weber equation $w''-(\frac{z^2}4-\nu-\frac12) w=0$ if $\nu=-\frac12$ are ...
Yu.S. Trukhan
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Uniqueness of Entire Functions
Annals of the Alexandru Ioan Cuza University - Mathematics, 2011 Uniqueness of Entire Functions In this paper, we study the uniqueness problems on meromorphic functions sharing a finite set. The results extend and improve some theorems obtained earlier by Fang (2002) and Zhang-Lin (2008).
Zhang, Yi, Xiong, Wei-Ling
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On the Zeta-Function of Zeros of Entire Function [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2021 This article is devoted to the study of the properties of the zeta-function of zeros of entire function. We obtained an explicit expression for the kernel of the integral representation of the zetafunction in one ...
Kuzovatov, Vyacheslav I. +2 more
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ON THE UNIQUENESS OF ENTIRE FUNCTIONS
Bulletin of the Korean Mathematical Society, 2004 Summary: We study the uniqueness of entire functions and prove the following result: Let \(f(z)\) and \(g(z)\) be two nonconstant entire functions, \(n\geq 7\) a positive integer, and let \(a\) be a nonzero finite complex number. If \(f^n(z)(f(z)-1)f'(z)\) and \(g^n(z)(g(z)-1)g'(z)\) share \(a\) CM, then \(f(z)\equiv g(z)\).
Qiu, Huiling, Fang, Mingliang
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