Results 21 to 30 of about 4,845,279 (299)
A note on a functional inequality
International Journal of Mathematics and Mathematical Sciences, 1992 We prove: If r1,…,rk are (fixed) positive real numbers with ∏j=1krj>1, then the only entire solutions φ:ℂ→ℂ of the functional inequality∏j=1k|φ(rjz)|≥(∏j=1krj)|φ(z)|kare φ(z)=czn, where c is a complex number and n is a positive integer.
Horst Alzer
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Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces [PDF]
, 2011 The classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas. In particular, when the involved kernel is analytic in the sampling parameter it can be stated in an abstract setting of reproducing kernel Hilbert spaces
Hernández-Medina, Miguel A. +7 more
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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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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 location in a half-plane of zeros of perturbed first order entire functions [PDF]
Mathematica Moravica, 2019 We consider the entire functions h(z) = X∞ k=0 akz k k! and h~(z) = X∞ k=0 a~kz k k! (a0 = ~a0 = 1; z, ak, a~k ∈ C, k = 1, 2, . . .), provided X∞ k=0 |ak| 2 < ∞, X∞ k=0 |a~k| 2 < ∞ and all the zeros of h(z) are in a half-plane.
Gil Michael
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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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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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About the defects of curves holomorphic in the half plane
International Journal of Mathematics and Mathematical Sciences, 1985 A study is made on the defects of curves holomorphic in the half plane. Several results are proved.
Moqbul Hossain
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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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