19 Zeros of Entire Functions

  • Michael I. Gil’
Part of the Lecture Notes in Mathematics book series (LNM, volume 1830)


The present chapter is devoted to applications of our abstract results to the theory of finite order entire functions. We consider the following problem: if the Taylor coefficients of two entire functions are close, how close are their zeros? In addition, we establish bounds for sums of the absolute values of the zeros in the terms of the coefficients of its Taylor series. These bounds supplement the Hadamard theorem.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Michael I. Gil’
    • 1
  1. 1.Department of MathematicsBen Gurion University of NegevBeer-ShevaIsrael

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