Structure of the zeros ofq-Bernoulli polynomials

  • C. S. Ryoo


In this paper we observe the structure of the roots ofq-Bernoulli polynomials,β n (w, h|q), using numerical investigation. By numerical experiments, we demonstrate a remarkably regular structure of the real roots ofβ n (w, h|q) forq=−1/5, −1/2. Finally, we give a table for numbers of real and complex zeros ofβ n (w, h|q).

AMS Mathematics Subject Classification

81T99 26A33 58B99 

Key words and phrases

Numerical experiments Bernoulli polynomials q-Bernoulli polynomials 


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Copyright information

© Korean Society for Computational and Applied Mathematics 2005

Authors and Affiliations

  1. 1.Department of MathematicsHannam UniversityDaejeonKorea

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