Results 31 to 40 of about 18,386,226 (307)
Results on the uniqueness of difference polynomials of entire functions
Revista de Matemática: Teoría y Aplicaciones, 2015 In this paper, we study the uniqueness of two difference polynomials of entire functions sharing one value, polynomial and small function. Our results of this paper are improvement of the previous theorems given by Chen and Chen [2], Liu, Liu and Cao [22]
Hua Wang, Hong Yan Xu
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On Localization of Zeros of an Entire Function of Finite Order of Growth
, 2017 The aim of the article is to find conditions on coefficients of a Taylor expansion of an entire function of finite order of growth in $$ \mathbb C $$C that guarantee a specified number of zeros.
A. Kytmanov, O. V. Khodos
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Recursion Rules for the Hypergeometric Zeta Functions [PDF]
, 2013 The hypergeometric zeta function is defined in terms of the zeros of the Kummer function M(a, a + b; z). It is established that this function is an entire function of order 1.
Byrnes, Alyssa +3 more
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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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The Hole Probability for Gaussian Entire Functions [PDF]
, 2010 We study the hole probability of Gaussian random entire functions. More specifically, we work with entire functions in Taylor series form with i.i.d complex Gaussian coefficients. A hole is the event where the function has no zeros in a disc of radius r.
Nishry, Alon
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Hyperbolic entire functions and the Eremenko–Lyubich class: Class B or not class B? [PDF]
, 2016 Hyperbolicity plays an important role in the study of dynamical systems, and is a key concept in the iteration of rational functions of one complex variable.
A Badeńska +17 more
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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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On the set where the iterates of an entire function are bounded [PDF]
, 2010 We show that for a transcendental entire function the set of points whose orbit under iteration is bounded can have arbitrarily small positive Hausdorff dimension.
Walter Bergweiler
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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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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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