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On the (w,q)-Euler numbers and polynomials with weight α

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In this paper, we study a new extension of Euler numbers and polynomials. These numbers and polynomials are closely related to the Frobenius-Euler numbers and polynomials.

Abstract

In this paper, we study a new extension of Euler numbers and polynomials. These numbers and polynomials are closely related to the Frobenius-Euler numbers and polynomials.

참고문헌 (13)

  1. M. Acikgoz, "On multiple interpolation functions of the N¨orlund type q-Euler polynomials", Abst. Appl. Anal, pp.14~ (2009)
  2. I. N.. Cangul, "ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERS", Advanced Studies in Contemporary Mathematics, 19(1), pp.39~57 (2009), 장전수학회
  3. T. Kim, "Some fomulae for the q-Bernoulli and Euler polynomials of higher order", J. Math. Anal. Appl, 273, pp.236~242 (2002)
  4. T. Kim, "Note on the Euler q-zeta functions", Journal of Number Theory, 129, pp.1798~1804 (2009)
  5. T. Kim, "Some identities on the q-Euler polynomials of higher order and q- Stirling numbers by the fermionic p-adic integral on Zp", Russ. J. Math. Phys, 16, pp.484~491 (2009)
  6. T. Kim, "A new approach of q-Euler numbers and polynomials, (accepted in Adv. Stud. Contemp. Math.)"
  7. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys, 9, pp.288~299 (2002)
  8. T. Kim, "Barnes type multiple q-zeta function and q-Euler polynomials", J. Phys. A : Math. Theor, 43, pp.11~ (2010)
  9. T. Kim, "On p-adic interpolation function for q-Euler numbers and its derivatives", J. Math. Anal. Appl, 339, pp.598~509 (2008)
  10. H. Ozden, "Remarks on q-Bernoulli numbers associated with Daehee numbers", Advanced Studies in Contemporary Mathematics, 18(1), pp.41~48 (2009), 장전수학회
  11. H. Ozden, "A note on p -adic q -Euler measure", Advanced Studies in Contemporary Mathematics, 14(2), pp.233~240 (2007), 장전수학회
  12. Yilmaz Simsek, "Generating functions of the twisted Bernoulli numbers and polynomials associated with their interpolation functions", Advanced Studies in Contemporary Mathematics, 16(2), pp.251~278 (2008), 장전수학회
  13. L. C. Jang, "A note on N¨orlund type twisted q-Euler polynomials and numbers of higher order associated with fermionic invariant q-integrals", J. Inequal. Appl, pp.12~ (2010)

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