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Nevanlinna Theory on Infinite Graphs

Computational Methods and Function Theory
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Atsuji, Atsushi, Kaneko, Hiroshi
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p-Adic Nevanlinna Theory

Trends in Mathematics, 2019
After recalling the classical p-adic Nevanlinna theory, we describe the same theory in the complement of an open disk and examine various immediate applications: uniqueness, Picard’s values, branched values, small functions.
Alain Escassut, Ta Thi Hoai An
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Nevanlinna theory and algebraic values of certain meromorphic functions

, 2020
We extend two results by Boxall and Jones on algebraic values of certain analytic functions to meromorphic functions.
T. Chalebgwa
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A Modification of the Nevanlinna Theory

Computational Methods and Function Theory, 2009
This paper presents a modification of the Nevanlinna theory by making use of the full generality of the Poisson--Jensen formula instead of using a special case of the formula, the Jensen formula, that had been used to deduce the ``classical'' Nevanlina theory. More precisely, let \(\alpha\) be a point in the disk \(|z|
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Nevanlinna theory and diophantine approximation

Science in China Series A: Mathematics, 2005
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Brownian Motion and Nevanlinna Theory

Proceedings of the London Mathematical Society, 1986
The paper describes an interpretation of R. Nevanlinna's theory on the distribution of values taken by a meromorphic function in terms of probability theory. A meromorphic function transforms Brownian paths in its domain into Brownian paths on the Riemann sphere which run up to a stopping time T.
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THE STRENGTH OF CARTAN'S VERSION OF NEVANLINNA THEORY

Bulletin of the London Mathematical Society, 2004
\textit{H. Cartan} proved a fundamental theorem in the value distribution theory [Sur les zeros des combinaisons linéaires de \(p\) functions holomorphes données', Mathematica Cluj 7, 5--31 (1933; Zbl 0007.41503)], which contains Nevanlinna's second main theorem.
Gundersen, Gary G., Hayman, Walter K.
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Analytic Ax–Schanuel for semi-abelian varieties and Nevanlinna theory

Journal of the Mathematical Society of Japan, 2023
J. Noguchi
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