New approach to the complete sum of products of the twisted (h, q)-Bernoulli numbers and polynomials

@article{Simsek2007NewAT,
  title={New approach to the complete sum of products of the twisted (h, q)-Bernoulli numbers and polynomials},
  author={Y. Simsek and V. Kurt and Daeyeoul Kim},
  journal={Journal of Nonlinear Mathematical Physics},
  year={2007},
  volume={14},
  pages={44 - 56}
}
Abstract In this paper, by using q-Volkenborn integral[10], the first author[25] constructed new generating functions of the new twisted (h, q)-Bernoulli polynomials and numbers. We define higher-order twisted (h, q)-Bernoulli polynomials and numbers. Using these numbers and polynomials, we obtain new approach to the complete sums of products of twisted (h, q)-Bernoulli polynomials and numbers. p-adic q-Volkenborn integral is used to evaluate summations of the following form: where is the… Expand
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