From: William Cherry
Subject: Re: books on Nevanlinna theory
Date: 01 Mar 1999 13:27:55 -0600
Newsgroups: sci.math.research
Xiao-Song Lin writes:
> Hello!
>
> Could someone suggest some good books on Navanlinna theory of value
> distributions?
>
> Thank you very much.
>
> Xiao-Song Lin
Well, of course there is:
R. Nevanlinna, Analytic Functions, Springer-Verlag 1970.
Another classic is:
W. K. Hayman, Meromorphic Functions, Clarendon Press, Oxford, 1964
(out of print)
If you read Russian, a very nice book is:
Goldberg and Ostrovskii, Distribution of Values of Meromorphic
Functions, Nauka 1970
If you read German, you may like:
G. Jank and L. Volkmann, Meromorphe Funktionen und
Differentialgleichungen, Birkhauser Verlag, 1985.
If you're particularly interested in applications to differential equations,
there is:
I. Laine, Nevanlinna Theory and Differential Equations, de Gruyter
Studies in Math. 15, 1993
From a totally different direction, you can look at:
L. Rubel (with J. Colliander), Entire and Meromorphic Functions,
Springer Verlag, 1996
For several variables, you can look at:
B. V. Shabat, Distribution of Values of Holomorphic Mappings,
Translations of Mathematical Monographs 61, AMS, 1985
and
J. Noguchi and T. Ochiai, Geometric Function Theory in
Several Complex Variables, Translations of Mathematical
Monographs 80, AMS, 1990