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Original Articles

A note on generalized Euler numbers and polynomials

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Pages 1099-1111 | Received 24 Oct 2006, Accepted 14 Jan 2007, Published online: 01 Aug 2007

References

  • Cenkci , M. , Can , M. and Kurt , V. 2004 . q-Adic interpolation functions and Kummer type congruence for q-twisted and q-generalized twisted Euler numbers . Advanced Studies in Contempory Mathematics , 9 : 203 – 216 .
  • Kim , T. , Ryoo , C. S. , Jang , L. C. and Rim , S. H. 2005 . Exploring the q-Riemann zeta function and q-Bernoulli polynomials . Discrete Dynamics in Nature and Society , 2 : 171 – 181 .
  • Kim , T. 2007 . On the q-extension of Euler and Genocchi numbers . Journal of Mathematical Analysis and Applications , 326 : 1458 – 1465 .
  • Kim , T. 2007 . On the analogue of Euler numbers and polynomials associated with p-adic q-integral on ℤ p at q=−1 . Journal of Mathematical Analysis and Applications , in press
  • Kim , T. and Rim , S.-H. 2007 . Explicit p-adic expansion for alternating sums of powers . Journal of Mathematical Analysis and Applications , in press
  • Kim , T. 2002 . q-Volkenborn integration . Russian Journal of Mathematical Physics , 9 : 288 – 299 .
  • Kim , T. A note on q-Volkenborn integration . Proceedings of the Jangjeon Mathematics Society . Vol. 2 , pp. 45 – 49 .
  • Ryoo , C. S. , Kim , T. and Agarwal , R. P. 2005 . Exploring the multiple change q-Bernoulli polynomials . International Journal of Computer Mathematics , 82 : 483 – 493 .
  • Simsek , Y. 2006 . Theorem on twisted L-function and twisted Bernoulli numbers . Advanced Studies in Contempory Mathematics , 12 : 237 – 246 .
  • Simsek , Y. 2005 . q-Analogue of the twisted l-series and q-twisted Euler numbers . Journal of Number Theory , 110 : 267 – 278 .

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