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q-ANALOGUE OF EULER-BARNES' NUMBERS AND POLYNOMIALS

Jang, Lee-Chae;Kim, Tae-Kyun

  • Published : 2005.08.01

Abstract

Recently, Kim[2,6] has introduced an interesting Euler­Barnes' numbers and polynomials. In this paper, we construct the q-analogue of Euler-Barnes' numbers and polynomials, and investigate their properties.

Keywords

Euler numbers;Bernoulli numbers;zeta function

References

  1. T. Kim, p-adic q-integral associated with Changhee-Barnes' q-Bernoulli polyno- mials, Integral Transforms Spec. Funct. 15 (2004)
  2. T. Kim, Kummer Congruence for the Bernoulli numbers of higher order, Appl. Math. Comput. 151 (2004), 589-593 https://doi.org/10.1016/S0096-3003(03)00314-X
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  6. T. Kim, q-Volkenborn integration, Russ. J. Math. Phys. 9 (2002), 288-299
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  9. T. Kim, On p-adic q-Bernoulli numbers, J. Korean Math. Soc. 37 (2000), 27-30
  10. T. Kim, A note on the q-analogue of multiple zeta function, Adv. Stud. Con- temp. Math. 8 (2004), 111-113
  11. T. Kim, A note on Dirichlet L-series, Proc. Jangjeon Math. Soc. 6 (2004), 161-166
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  13. T. Kim, An invariant p-adic Integral associated with Daehee numbers, Integral Transforms Spec. Funct. 13 (2002), 65-69 https://doi.org/10.1080/10652460212889

Cited by

  1. Generating Functions for q-Apostol Type Frobenius–Euler Numbers and Polynomials vol.1, pp.3, 2012, https://doi.org/10.3390/axioms1030395
  2. Generating function for q-Eulerian polynomials and their decomposition and applications vol.2013, pp.1, 2013, https://doi.org/10.1186/1687-1812-2013-72