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A lower bound for the number of zeros of a function analytic in a disk

  • Albert Edrei
Location Of Zeros And Poles
Part of the Lecture Notes in Mathematics book series (LNM, volume 1105)

Abstract

Let φ(z) be a nonconstant analytic function regular for |z|≤1. The author shows that, with little additional information regarding φ(z), it is possible to obtain a lower bound for the number of zeros of φ(z) in the disk |z|≤t (0<t<1).

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References

  1. 1.
    A. Edrei, Sections of the Taylor expansions of Lindelöf functions, to be published.Google Scholar
  2. 2.
    A. Edrei, E. B. Saff and R. S. Varga, Zeros of Sections of Power Series, Lecture Notes in Mathematics, vol. 1002, Springer-Verlag, Berlin, New York, 1983.zbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • Albert Edrei
    • 1
  1. 1.Department of MathematicsSyracuse UniversitySyracuseUSA

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