Results 141 to 150 of about 292 (180)

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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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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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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Nevanlinna Theory and Minimal Surfaces

1997
In 1915, S. Bernstein proved that there is no nonflat minimal surface in R 3 which is described as the graph of a C 2-function on the total plane R 2 ([9]). This result was improved by many researchers in the field of differential geometry. E. Heinz studied nonflat minimal surfaces in R 3 which are the graph of functions on discs Δ R := {(x, y); x 2 ...
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Nevanlinna theory

2003
Pei-Chu Hu, Ping Li, Chung-Chun Yang
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Equidistribution and Nevanlinna theory

Bulletin of the London Mathematical Society, 2007
David Drasin, Yûsuke Okuyama
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Nevanlinna theory

2000
Pei-Chu Hu, Chung-Chun Yang
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Nevanlinna Theory

2015
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Minimal Surfaces Through Nevanlinna Theory

2023
Min Ru
exaly  

The Proximity Function in Nevanlinna Theory

Journal of the London Mathematical Society, 1982
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