Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A NUMERICAL INVESTIGATION ON THE STRUCTURE OF THE ROOT OF THE (p, q)-ANALOGUE OF BERNOULLI POLYNOMIALS

  • Received : 2017.03.12
  • Accepted : 2017.07.28
  • Published : 2017.09.30
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Abstract

In this paper we define the (p, q)-analogue of Bernoulli numbers and polynomials by generalizing the Bernoulli numbers and polynomials, Carlitz's type q-Bernoulli numbers and polynomials. We also give some interesting properties, explicit formulas, a connection with (p, q)-analogue of Bernoulli numbers and polynomials. Finally, we investigate the zeros of the (p, q)-analogue of Bernoulli polynomials by using computer.

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References

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