Results 21 to 30 of about 1,520,966 (266)
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 periodicity of entire functions [PDF]
Proceedings of the American Mathematical Society, 1974 A sequence S = { s n
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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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Singular values of two-parameter families λ((bz − 1)/z)μ and λ(z/(bz − 1))η
Journal of Taibah University for Science, 2017 The singular values of two kinds of two-parameter families of functions (i) fλ,μ(z)=λ((bz−1)/z)μ and fλ,μ(0) = λ(ln b)μ, μ > 0, (ii) gλ,η(z)=λ(z/(bz−1))η and gλ,η(0) = λ/(ln b)η, η > 0; λ∈ℝ∖{0}, z∈ℂ, b > 0, b ≠ 1 are described.
Mohammad Sajid
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Multiple interpolation with the fast-growing knots in the class of entire functions and its application [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 The conditions for the sequence of complex numbers (bn,k) are obtained, such that the interpolation problem g(k-1)(λn) = bn,k, k ∈ 1, s, n ∈ N, where |λk/λk+1| ≤ ∆ < 1, has a unique solution in some classes of entire functions g for which Mg(r) ≤ c1 exp (
I. Sheparovych
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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 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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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
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 zeros of the derivatives of an entire function [PDF]
Proceedings of the American Mathematical Society, 1957 Let f(z) be an entire function. We define the point set L=Lf on the z-sphere as follows: zo0EL if and only if every neighborhood of zo contains zeros of infinitely many of the functions f(n)(z). In [3] Polya has named this set the final set of f, and collected various facts and conjectures about final sets. The object of this paper is to prove that any
Edrei, A., MacLane, G. R.
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