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Symmetry identities for the twisted generalized Euler polynomials

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In this paper, we give some symmetry identities for the twisted generalized Euler polynomials attached to χ.

Abstract

In this paper, we give some symmetry identities for the twisted generalized Euler polynomials attached to χ.

참고문헌 (13)

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  4. T. Kim, "A note on p -adic q-integral on Z_p associated with q-Euler numbers", Advanced Studies in Contemporary Mathematics, 15(2), pp.133~137 (2007), 장전수학회
  5. T. Kim, "On p-adic interpolating function for q-Euler numbers and its derivatives", J. Math. Anal. Appl., 339, pp.598~608 (2008)
  6. T. Kim, "q-Extension of the Euler formula and trigonometric functions", Russ. J. Math. Phys., 14, pp.275~278 (2007)
  7. T. Kim, "q-Euler numbers and polynomials associated with p-adic q-integrals", J. Nonlinear Math. Phys., 14, pp.15~27 (2007)
  8. T. Kim, "A note on the generalized Euler numbers and polynomials, ( Communicated)", ~
  9. T. Kim, "An identity of the symmetry for the Frobenius-Euler polynomials associated with the fermionic p-adic invariant q-integrals on Zp, Rocky Mountain J. Math. (to appear in 2009)", ~ (2009)
  10. K. Shiratani, "On a p-adic interpolation function for the Euler numbers and its derivatives", Mem. Fac. Sci., Kyushu University Ser. A, 39, pp.113~125 (1985)
  11. Y. Simsek, "On p-adic twisted q-L-functions related to generalized twisted Bernoulli numbers", Russ. J. Math. Phys., 13, pp.340~348 (2006)
  12. Y. Simsek, "Theorems on twisted L-function and twisted Bernoulli numbers", Advanced Studies in Contemporary Mathematics, 11, pp.205~218 (2005)
  13. Z. Zhang, "Some closed formulas for generalizations of Bernoulli and Euler numbers and polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 11(2), pp.191~198 (2008), 장전수학회

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