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논문

Some Results for the q-Bernoulli, q-Euler numbers and polynomials

https://doi.org/10.1186/1687-1847-2011-68

  • 저자Daeyeoul Kim; Min-Soo Kim
  • 학술지Advances in Difference Equations 68
  • 등재유형
  • 게재일자(2011)


The q-analogues of many well known formulas are derived by using several results of q-Bernoulli, q-Euler numbers and polynomials. The q-analogues of ζ-type functions are given by using generating functions of q-Bernoulli, q-Euler numbers and polynomials. Finally, their values at non-positive integers are also been computed.

2010 Mathematics Subject Classification: 11B68; 11S40; 11S80.


The q-analogues of many well known formulas are derived by using several results of q-Bernoulli, q-Euler numbers and polynomials. The q-analogues of ζ-type functions are given by using generating functions of q-Bernoulli, q-Euler numbers and polynomials. Finally, their values at non-positive integers are also been computed.

2010 Mathematics Subject Classification: 11B68; 11S40; 11S80.

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