Book Review
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Book Information:
Author:
Olavi Nevanlinna
Title:
Meromorphic functions and linear algebra
Additional book information:
Fields Institute Monographs, vol. 18,
Amer. Math. Soc., Providence, RI,
2003,
x+136 pp.,
ISBN 0-8218-3247-6,
$39.00$
Gustav Elfving, The history of mathematics in Finland, 1828–1918, History of Learning and Science in Finland, vol. 4, Societas Scientiarum Fennica, Helsinki, 1981. MR 620160
A. Erëmenko, Meromorphic functions with small ramification, Indiana Univ. Math. J. 42 (1993), no. 4, 1193–1218. MR 1266090, DOI 10.1512/iumj.1993.42.42055
A. A. Gol′dberg and I. V. Ostrovskiĭ, Raspredelenie znacheniĭ meromorfnykh funktsiĭ, Izdat. “Nauka”, Moscow, 1970 (Russian). MR 0280720
Phillip A. Griffiths, Entire holomorphic mappings in one and several complex variables, Annals of Mathematics Studies, No. 85, Princeton University Press, Princeton, N. J.; University of Tokyo Press, Tokyo, 1976. The fifth set of Hermann Weyl Lectures, given at the Institute for Advanced Study, Princeton, N. J., October and November 1974. MR 0447638
W. K. Hayman, Meromorphic functions, Oxford Mathematical Monographs, Clarendon Press, Oxford, 1964. MR 0164038
W. K. Hayman and P. B. Kennedy, Subharmonic functions. Vol. I, London Mathematical Society Monographs, No. 9, Academic Press [Harcourt Brace Jovanovich, Publishers], London-New York, 1976. MR 0460672
Shoshichi Kobayashi, Hyperbolic complex spaces, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 318, Springer-Verlag, Berlin, 1998. MR 1635983, DOI 10.1007/978-3-662-03582-5
Serge Lang, Introduction to complex hyperbolic spaces, Springer-Verlag, New York, 1987. MR 886677, DOI 10.1007/978-1-4757-1945-1
Rolf Nevanlinna, Analytic functions, Die Grundlehren der mathematischen Wissenschaften, Band 162, Springer-Verlag, New York-Berlin, 1970. Translated from the second German edition by Phillip Emig. MR 0279280
Seppo Rickman, Quasiregular mappings, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 26, Springer-Verlag, Berlin, 1993. MR 1238941, DOI 10.1007/978-3-642-78201-5
Min Ru, Nevanlinna theory and its relation to Diophantine approximation, World Scientific Publishing Co., Inc., River Edge, NJ, 2001. MR 1850002, DOI 10.1142/9789812810519
- [1]
- G. ELFVING, The History of Mathematics in Finland 1828-1918, The History of Learning and Science in Finland, Helsinki, 1981. MR 0620160 (84c:01032)
- [2]
- A. ERËMENKO, Meromorphic functions with small ramification, Indiana Univ. Math. J. 42 (1993), 1193-1218. MR 1266090 (95a:30028)
- [3]
- A. A. GOL'DBERG, I. V. OSTROVSKII, The Distribution of Values of Meromorphic Functions, (Russian) Nauka, Moscow, 1974. MR 0280720 (43:6439)
- [4]
- PH. GRIFFITHS, Entire Holomorphic Mappings in One and Several Complex Variables, Ann. Math. Studies No. 85, Princeton U. Press, 1976. MR 0447638 (56:5948)
- [5]
- W. K. HAYMAN, Meromorphic Functions, Oxford, 1964. MR 0164038 (29:1337)
- [6]
- W. K. HAYMAN AND P. B. KENNEDY, Subharmonic Functions (vol. 1), Academic Press, 1976. MR 0460672 (57:665)
- [7]
- S. KOBAYASHI, Hyperbolic Complex Spaces, Springer, 1998. MR 1635983 (99m:32026)
- [8]
- S. LANG, Introduction to Complex Hyperbolic Spaces, Springer, 1987. MR 0886677 (88f:32065)
- [9]
- R. NEVANLINNA, Analytic Functions (translated from the German by Ph. Emig), Springer, 1970. MR 0279280 (43:5003)
- [10]
- S. RICKMAN, Quasiregular Mappings, Springer, New York, 1993. MR 1238941 (95g:30026)
- [11]
- M. RU, Nevanlinna Theory and Its Relation to Diophantine Approximation, World Scientific Publ., 2001. MR 1850002 (2002g:11106)
Review Information:
Reviewer:
David Drasin
Affiliation:
Purdue University
Email:
drasin@math.purdue.edu
Journal:
Bull. Amer. Math. Soc.
42 (2005), 413-416
Published electronically:
April 6, 2005
Review copyright:
© Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.