Results 31 to 40 of about 7,903 (155)
On the qth convergence exponent of entire functions
Journal of Mathematical Analysis and Applications, 1984 Let f(z) be an entire function. The author defines in the distribution of zeros, qth convergence exponent, as \(\rho (q)=g.l.b\). \(\{\alpha =\alpha >0\) and \(\sum^{\infty}_{n=1}(\log^{[q]} r_ n)^{-\alpha}
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Some Properties of Solutions for Some q-Difference Equations Containing Painlevé Equation
Journal of Function Spaces, 2018 The existence and growth of meromorphic solutions f(z) for some q-difference equations are studied, and some estimates for the exponent of convergence of poles of Δqf, Δq2f, Δqf/f, and Δq2f/f are also obtained.
Peng Jun Zhao, Hong Yan Xu
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Value distribution of meromorphic functions concerning rational functions and differences
Advances in Difference Equations, 2020 Let c be a nonzero constant and n a positive integer, let f be a transcendental meromorphic function of finite order, and let R be a nonconstant rational function.
Mingliang Fang, Degui Yang, Dan Liu
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On the exponent of convergence of negatively curved manifolds without Green’s function [PDF]
Publicacions Matemàtiques, 2018 In this paper we prove that for every complete n-dimensional Riemannian manifold without Green's function and with its sectional curvatures satisfying K ≤-1, the exponent of convergence is greater than or equal to n - 1. Furthermore, we show that this inequality is sharp. This result is well known for manifolds with constant sectional curvatures K = -1.
Melián, María V. +2 more
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Gaps and the exponent of convergence of an integer sequence
, 2012 Professor Tibor Šalát, at one of his seminars at Comenius University, Bratislava, asked to study the influence of gaps of an integer sequence A ...
Grekos, Georges +2 more
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On The Iterated Exponent of Convergence of Solutions of Linear Differential Equations
International Journal of Analysis and Applications, 2015 In this paper, we investigate the relationship between solutions and their derivatives of the differential equation f^{(k)}+A_{k-1}f^{(k-1)}+...+A₀f=0 for k≥2 and small functions, where A_{j} (j=0,1,...,k-1) are meromorphic functions of finite iterated p-
Abdallah EL FARISSI
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Sectorial oscillation of linear differential equations and iterated order
Electronic Journal of Differential Equations, 2004 In the present paper, we investigate higher order linear differential equations with entire coefficients of iterated order. Using value distribution theory of transcendental meromorphic functions and covering surface theory, we extend a result on the
Dao-chun Sun, Zhao-Jun Wu
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Applied SciencesThis article addresses the trajectory tracking control problem for quadrotor unmanned aerial vehicles (UAVs) subject to complex external disturbances and parameter uncertainties.
Zhenyong Luo +3 more
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Bowen Lemma in the Countable Symbolic Space
Entropy, 2017 We consider the sets of quasi-regular points in the countable symbolic space. We measure the sizes of the sets by Billingsley-Hausdorff dimension defined by Gibbs measures.
Mingtian Li, Jihua Ma
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Oscillation of fixed points of solutions to complex linear differential equations
Electronic Journal of Differential Equations, 2013 In this article, we study the relationship between the derivatives of the solutions to the differential equation $f^{(k)}+A_{k-1}f^{(k-1)}+dots +A_0f=0$ and entire functions of finite order.
Abdallah El Farissi, Maamar Benbachir
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