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Israel Journal of Mathematics

, Volume 92, Issue 1–3, pp 273–284 | Cite as

Proximate order and type of entire functions of several complex variables

  • S. M. Einstein-Matthews
  • H. S. Kasana
Article

Abstract

We introduce the notion of proximate order for entire functions with indexpair (p,q), for integersp andq such that 1≤qp to study the type of entire functions of several complex variables. One of our main results is a generalization of a theorem due to Lelong-Gruman in their book [7] on Entire Functions of Several Complex Variables.

Keywords

Entire Function Complex Variable Homogeneous Polynomial Dirichlet Series Maximum Term 
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Copyright information

© Hebrew University 1995

Authors and Affiliations

  • S. M. Einstein-Matthews
    • 1
  • H. S. Kasana
    • 2
  1. 1.Department of MathematicsUppsala UniversityUppsalaSweden
  2. 2.Birla Institute of Technology and SciencePilaniIndia

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