Advances in Complex Analysis and Its Applications

Unicity of Meromorphic Mappings

Authors: Pei-Chu Hu, Ping Li, Chung-Chun Yang

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About this book

For a given meromorphic function I(z) and an arbitrary value a, Nevanlinna's value distribution theory, which can be derived from the well known Poisson-Jensen for­ mula, deals with relationships between the growth of the function and quantitative estimations of the roots of the equation: 1 (z) - a = O. In the 1920s as an application of the celebrated Nevanlinna's value distribution theory of meromorphic functions, R. Nevanlinna [188] himself proved that for two nonconstant meromorphic func­ tions I, 9 and five distinctive values ai (i = 1,2,3,4,5) in the extended plane, if 1 1- (ai) = g-l(ai) 1M (ignoring multiplicities) for i = 1,2,3,4,5, then 1 = g. Fur­ 1 thermore, if 1- (ai) = g-l(ai) CM (counting multiplicities) for i = 1,2,3 and 4, then 1 = L(g), where L denotes a suitable Mobius transformation. Then in the 19708, F. Gross and C. C. Yang started to study the similar but more general questions of two functions that share sets of values. For instance, they proved that if 1 and 9 are two nonconstant entire functions and 8 , 82 and 83 are three distinctive finite sets such 1 1 that 1- (8 ) = g-1(8 ) CM for i = 1,2,3, then 1 = g.

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $129.00
price for USA in USD
  • ISBN 978-1-4757-3775-2
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-1-4020-1219-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $169.99
price for USA in USD
  • ISBN 978-1-4419-5243-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Unicity of Meromorphic Mappings
Authors
Series Title
Advances in Complex Analysis and Its Applications
Series Volume
1
Copyright
2003
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-1-4757-3775-2
DOI
10.1007/978-1-4757-3775-2
Hardcover ISBN
978-1-4020-1219-8
Softcover ISBN
978-1-4419-5243-1
Edition Number
1
Number of Pages
IX, 467
Topics