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Nevanlinna Theory of Functions

Nature, 1964
Meromorphic Functions By Prof. W. K. Hayman. (Oxford Mathematical Monographs.) Pp. xiv + 191. (London: Oxford University Press, 1964.) 63s.
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Nevanlinna Theory in an Annulus

2006
A concrete presentation of Nevanlinna theory in a domain z: ¦z¦≥R has been offered by Bieberbach. He applied Green’s formula to prove the first main theorem and the lemma of the logarithmic derivative for meromorphic functions outside a disc of radius R.
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On the Size of the Exceptional Set in Nevanlinna Theory

Journal of the London Mathematical Society, 1986
It is shown an example of a meromorphic function F in the plane, for which the exceptional set in the logarithmic derivative Lemma, in fact occurs. This example generalises a previous construction of Hayman. The function shown is given by a series of the form \[ F(z)=\sum^{\infty}_{n=1}(z/r_ n)^{\lambda_ n}, \] where \(\{r_ n\}\) and \(\{\lambda_ n\}\)
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An Introduction to Nevanlinna Theory

1968
The aim of this paper is to give an introduction to R. Nevanlinna’s theory of the distribution of the values assumed by a meromorphic function f(z), perhaps one of the most exciting developments in the function theory of this century. (For a fuller account see my book.5)
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Nevanlinna theory on the p-adic plane

Annales Polonici Mathematici, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nevanlinna theory through the Brownian motion

Science China Mathematics, 2019
Xianjing Dong, Y. He, M. Ru
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Nevanlinna Theory and Diophantine Approximations

2004
In this note, we will introduce some basic problems and progresses in Nevanlinna theory and Diophantine approximations, say, discuss the abc-conjecture and Hall’s conjecture for integers, and prove their analogue for polynomials or entire functions by dint of Nevanlinna’s value distribution theory.
Hu, Pei-Chu, Yang, Chung-Chun
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Essentials of Nevanlinna Theory

1993
In 1925, R. Nevanlinna[1] established two fundamental theorems; in one stroke he initiated the modern research on the theory of value distribution, and laid down the foundation for its development ever since. Therefore, the first chapter will be devoted to a brief introduction to Nevanlinna theory1), and the last section of the chapter, as an ...
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