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Improved Asymptotics of Zeros

  • Sergei K. Suslov
Part of the Developments in Mathematics book series (DEVM, volume 9)

Abstract

In Section 6.3 we derived the asymptotic formulas (6.3.14) and (6.3.15) for the zeros of the basic sine S q (η; ω) and basic cosine C q ((η; ω)) functions, respectively. In this chapter we shall find improved asymptotics for these zeros by a different method using the Lagrange inversion formula.

Keywords

Asymptotic Formula Summation Formula Positive Zero Lambert Series Basic Sine 
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 Dordrecht 2003

Authors and Affiliations

  • Sergei K. Suslov
    • 1
  1. 1.Department of Mathematics and StatisticsArizona State UniversityTempeUSA

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