Results 41 to 50 of about 7,023 (242)
The growth of entire solutions of certain nonlinear differential-difference equations
AIMS Mathematics, 2022 This paper is concerned with entire solutions of nonlinear differential-difference equations. We will characterize the growth of entire solutions for two classes of nonlinear differential-difference equations.
Wenjie Hao, Qingcai Zhang
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AIMS Mathematics, 2022 This article is concerned with the existence of entire solutions for the following complex second order partial differential-difference equation $ \left(\frac{\partial^2 f(z_1, z_2)}{\partial z_1^2}+\frac{\partial^2 f(z_1, z_2)}{\partial z_2^2 ...
Wenju Tang, Keyu Zhang, Hongyan Xu
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Value distribution theory of Nevanlinna [PDF]
Journal of Physics: Conference Series, 2020 Abstract In the field of research, a century old value distribution theory of Nevanlinna is still alive. It contains a broad range of implementations inside and outside a function theory. It is the study to speculate different values by complex function.
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From asymptotics to spectral measures: determinate versus indeterminate moment problems [PDF]
, 2005 In the field of orthogonal polynomials theory, the classical Markov theorem shows that for determinate moment problems the spectral measure is under control of the polynomials asymptotics.
Valent, Galliano
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AIMS Mathematics, 2022 By using Nevanlinna of the value distribution of meromorphic functions, we investigate the transcendental meromorphic solutions of the non-linear differential equation $ \begin{equation*} f^{n}+P_{d}(f) = p_{1}e^{\alpha_{1}z}+p_{2}e^{\alpha_{2}z}+p_{3}
Linkui Gao, Junyang Gao
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Entire solutions of two certain types of quadratic trinomial q-difference differential equations
AIMS Mathematics, 2023 The main purpose of this paper is to find the explicit forms for entire solutions of two certain types of Fermat-type q-difference differential equations.
Zhenguang Gao, Lingyun Gao , Manli Liu
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The Error Term in Nevanlinna Theory
Duke Mathematical Journal, 1988 In the 60th, the author conjectured that the Roth's theorem could be improved of an inequality of some type of order \(1+\epsilon\) of log q. He deals here with the Stoll-Carlson-Griffiths theorem in higher dimensions and discusses the error term.
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The Error Term in Nevanlinna Theory. II [PDF]
Bulletin of the American Mathematical Society, 1990 [For part I see the author, Duke Math. J. 56, No. 1, 193-218 (1988; Zbl 0659.32005).] Let \(f:\mathbb{C}^ n\to X\) be a nondegenerate holomorphic map into a compact manifold of dimension \(n\). Let \(D\) be a divisor on \(X\) with the complexity \(k\).
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Tropical variants of some complex analysis results
, 2016 Tropical Nevanlinna theory studies value distribution of continuous piecewise linear functions of a real variable. In this paper, we use the reasoning from tropical Nevanlinna theory to present tropical counterparts of some classical complex results ...
Laine, Ilpo, Liu, Kai, Tohge, Kazuya
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Nevanlinna Theory via Stochastic Calculus
Journal of Functional Analysis, 1995 The author constructs a probabilistic version of Nevanlinna theory in general cases, improving the stochastic method by estimates of increasing processes for Brownian motions (Br.m.) and martingales (mart.) on manifolds. In Section 1 he establishes counterparts of the 1. and 2.
Atsushi Atsuji, Atsushi Atsuji
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