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The Journal of Analysis

, Volume 26, Issue 1, pp 103–117 | Cite as

Volume deficiency of E-valued meromorphic functions

Original Research Paper
  • 19 Downloads

Abstract

In this paper, we study the properties of volume function V(ra) associated with vector-valued meromorphic functions in an infinite dimensional Banach space and obtain some significant results on volume deficiency.

Keywords

Nevanlinna theory Meromorphic function Banach space Volume function Deficiency 

Mathematics Subject Classification

Primary 30D35 Secondary 30D30 

References

  1. 1.
    Hu, C.G. 1997. Nevanlinna’s Theory in a Banach Space. Proceedings of the 5th International Colloquium on Complex Analysis, pp. 109–115Google Scholar
  2. 2.
    Hu, C.G., and Hu Qijian. 2006. The Nevanlinna’s theorem for a class. Complex Variables and Elliptic Equations 51: 777–791.MathSciNetCrossRefMATHGoogle Scholar
  3. 3.
    Ziegler, H.J.W. 1982. Vector-Valued Nevanlinna Theory. Boston: Pitman Advanced Publishing Program.MATHGoogle Scholar
  4. 4.
    Bhoosnurmath, Subhas S., and Veena L. Pujari. 2010. \(E\)-valued Borel exceptional values of meromorphic functions. International Journal of Mathematical Analysis 4 (42): 2089–2099.MathSciNetMATHGoogle Scholar

Copyright information

© Forum D'Analystes, Chennai 2018

Authors and Affiliations

  1. 1.Department of MathematicsVijaya CollegeBangaloreIndia

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