Results 71 to 80 of about 5,990,008 (247)

Growth of solutions to higher order linear homogeneous differential equations in angular domains

Electronic Journal of Differential Equations, 2010
In this article, we discuss the growth of meromorphic solutions to higher order homogeneous differential equations in some angular domains, instead of the whole complex plane.
Nan Wu
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The entire solution pairs of a class of Fermat-type difference equation systems on $ \mathbb{C}^2 $

AIMS Mathematics
For two-variable polynomials, we have identified periodicity characteristics that differ from those of the single-variable polynomials. In this paper, based on the research of [1], we have further investigated the finite-order entire solution pairs for ...
Zhuo Wang, Qingcai Zhang
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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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On the Absolutely Continuous Spectrum of Generalized Indefinite Strings. [PDF]

Ann Henri Poincare, 2021
Eckhardt J, Kostenko A.
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Uniqueness of shift and derivatives of meromorphic functions

Математичні Студії
This paper addresses the uniqueness problem concerning the j-th derivative of a meromorphic function $f(z)$ and the k-th derivative of its shift, $f(z+c),$ where $j,k$ are integers with $0\leq ...
D. C. Pramanik, A. Sarkar
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Value distribution theory of Nevanlinna

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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The Fourier-Laplace Transform-A Conjugate Link Between the Material Brain and the Conscious Mind. [PDF]

Front Hum Neurosci, 2021
Brändas EJ.
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On applications of Herglotz-Nevanlinna functions in material sciences, II: extended applications and generalized theory [PDF]

, 2022
Miao‐Jung Yvonne Ou, Annemarie Luger
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Theorie de nevanlinna p-adique

Manuscripta Mathematica, 1990
We study meromorphic functions in all ℂp or in a disc of ℂp. Using some properties of the valuation polygon notion, we show p-adic results perfectly analogous to those of Nevanlinna in the complex case.
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Nevanlinna theory for minimal surfaces of parabolic type [PDF]

, 1995
Hirotaka Fujimoto
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