Results 11 to 20 of about 833,020 (264)
Asymptotic Functions of Entire Functions [PDF]
Computational Methods and Function Theory, 2021 If $f$ is an entire function and $a$ is a complex number, $a$ is said to be an asymptotic value of $f$ if there exists a path $γ$ from $0$ to infinity such that $f(z) - a$ tends to $0$ as $z$ tends to infinity along $γ$. The Denjoy--Carleman--Ahlfors Theorem asserts that if $f$ has $n$ distinct asymptotic values, then the rate of growth of $f$ is at ...
Hinkkanen, Aimo +2 more
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No Entire Inner Functions [PDF]
Analysis Mathematica, 2020 6 pages, doubling condition ...
Cobos, A., Seco Forsnacke, Daniel
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Entire Functions with Asymptotic Functions.
MATHEMATICA SCANDINAVICA, 1995 Let \(A\) be the class of plane curves \(z = z(t)\) without self-intersections such that \(z(0)= 0\), \(\lim_{t \to \infty} z(t) = \infty\), for any \(T \in (0, \infty)\) the curve \(z = z(t)\), \(t \in [0,T]\) be a union of a finite number of line segments.
Hinkkanen, A., Rossi, John
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Entire Function Sharing Entire Function with its First Derivative
Kragujevac Journal of Mathematics, 2022 In this paper, we use the idea of normal family to investigate the problem of entire function that share entire function with its first derivative.
Majumder, Sujoy, Sarkar, Jeet
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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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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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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 APPLICATIONS OF THE DIHEDRAL GROUP TO INTERPOLATION PROBLEMS FOR ENTIRE FUNCTIONS
Проблемы анализа, 2023 We consider a particular case of the dihedral group of rotations and study linear poly-element functional equations associated with that group. We search for a solution in the class of functions that are holomorphic in the plane with a cut along “half”
Garif’yanov F. N., Strezhneva E. V.
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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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