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Relation Between the Growth of an Entire Function and the Size of Its Taylor Coefficients

  • Lee A. Rubel
  • James E. Colliander
Part of the Universitext book series (UTX)

Abstract

Let Fbe an entire function and M(r) be its maximum modulus for |z| = r. Suppose λ is a positive continuous increasing function for r ge; 1 such that \( \frac{{\lambda (2r)}}{{\lambda (r)}} \) is bounded.

Keywords

Entire Function Meromorphic Function Finite Type Maximum Modulus Cauchy Inequality 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Lee A. Rubel
    • 1
  • James E. Colliander
    • 1
  1. 1.Department of MathematicsUniversity of Illinois, Urbana-ChampaignUrbanaUSA

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