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

Prool 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations