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EXTENSION OF THE HIGHER-ORDER TWISTED q-EULER NUMBERS AND POLYNOMIALS WITH MULTI WEIGHT βi AND HIGHER hi

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In this paper, we introduce some properties of Extend of the higher-ordertwisted q-Euler numbers and polynomials with multi weight βi and higher hi. We observesome properties of Extend of the higher-order twisted q-Euler numbers and polynomials withmulti weight βi and higher hi for several cases. In particular, by using the the fermionicp-adic q-integral on Zp, we give a new concept of Extend of the higher-order twisted q-Eulernumbers and polynomials with multi weight βi and higher hi.

Abstract

In this paper, we introduce some properties of Extend of the higher-ordertwisted q-Euler numbers and polynomials with multi weight βi and higher hi. We observesome properties of Extend of the higher-order twisted q-Euler numbers and polynomials withmulti weight βi and higher hi for several cases. In particular, by using the the fermionicp-adic q-integral on Zp, we give a new concept of Extend of the higher-order twisted q-Eulernumbers and polynomials with multi weight βi and higher hi.

참고문헌 (14)

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  10. 김태균, "A NOTE ON THE WEIGHTED p-ADIC q-EULER MEASURE ON Zp", Advanced Studies in Contemporary Mathematics, 21(1), pp.35~40 (2011), 장전수학회
  11. V. Kurt, "A further symmetric relation on the analogue of the Apostol-Bernoulli and the analogue of the Apostol-Genocchi polynomials", Appl. Math. Sci, 3, pp.53~56 (2009)
  12. E.-J. Moon, "On the symmetric properties of higher-order twisted q-Euler numbers and polynomials", Adv. Difference Equ, pp.8~ (2010)
  13. C. S. Ryoo, "On the generalized Barnes type multiple q-Euler polynomials twisted by ramified roots of unity", Proc. Jangjeon Math. Soc, 13, pp.255~263 (2010)
  14. 유천성, "A note on the weighted q-Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(1), pp.47~54 (2011), 장전수학회

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