Improved Asymptotics of Zeros

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


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.


Asymptotic Formula Summation Formula Positive Zero Lambert Series Basic Sine 


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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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