Unicity of Meromorphic Mappings (Advances in Complex Analysis and Its Applications (1)) 1st Edition by Pei-Chu Hu (PDF)

    4

     

    Ebook Info

    • Published: 2011
    • Number of pages: 476 pages
    • Format: PDF
    • File Size: 12.03 MB
    • Authors: Pei-Chu Hu

    Description

    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.

    User’s Reviews

    Keywords

    Free Download Unicity of Meromorphic Mappings (Advances in Complex Analysis and Its Applications (1)) 1st Edition in PDF format
    Unicity of Meromorphic Mappings (Advances in Complex Analysis and Its Applications (1)) 1st Edition PDF Free Download
    Download Unicity of Meromorphic Mappings (Advances in Complex Analysis and Its Applications (1)) 1st Edition 2011 PDF Free
    Unicity of Meromorphic Mappings (Advances in Complex Analysis and Its Applications (1)) 1st Edition 2011 PDF Free Download
    Download Unicity of Meromorphic Mappings (Advances in Complex Analysis and Its Applications (1)) 1st Edition PDF
    Free Download Ebook Unicity of Meromorphic Mappings (Advances in Complex Analysis and Its Applications (1)) 1st Edition

    Previous articlePartial Differential Equations(with Fourier Series and Boundary Value Problems)2nd Edition By Nakhle H. Asmar by (美)阿斯玛 著 (PDF)
    Next articleDistribution Theory of Algebraic Numbers (De Gruyter Expositions in Mathematics Book 45) by Pei-Chu Hu (PDF)