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On the q-analogue of Euler measure with weight α

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Recently, the q-Euler numbers and polynomials with weight α are introduced in [11]. From these q-Euler polynomials with weight α, we derive the q-analogue of Euler measure with weight α.

Abstract

Recently, the q-Euler numbers and polynomials with weight α are introduced in [11]. From these q-Euler polynomials with weight α, we derive the q-analogue of Euler measure with weight α.

참고문헌 (11)

  1. Abdelmejid Bayad, "Modular properties of elliptic Bernoulli and Euler functions", Advanced Studies in Contemporary Mathematics, 20(3), pp.389~401 (2010), 장전수학회
  2. M. Cenkci, "The p-adic generalized twisted (h,q) -Euler-l-function and its applications", Advanced Studies in Contemporary Mathematics, 15(1), pp.37~47 (2007), 장전수학회
  3. M. Can, "Twisted Dedekind type sums associated with Barnes' type multiple Frobenius-Euler l-functions", Advanced Studies in Contemporary Mathematics, 18(2), pp.135~160 (2009), 장전수학회
  4. 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
  5. T. Kim, "New approach to q- Euler polynomials of higher order", Russ. J. Math. phys, 17, pp.218~225 (2010)
  6. 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)
  7. Veli Kurt, "A NEW APPROACH TO q-GENOCCHI NUMBERS AND POLYNOMIALS", 대한수학회보, 47(3), pp.575~583 (2010), 대한수학회
  8. H. Ozden, "Euler polynomials associated with p-adic q-Euler measure", Gen. Math, 15, pp.24~37 (2007)
  9. H. Ozden, "A note on p -adic q -Euler measure", Advanced Studies in Contemporary Mathematics, 14(2), pp.233~240 (2007), 장전수학회
  10. S. H. Rim, "A note on p-adic Euler measure on Zp", Russ. J. Math. Phys, 13, pp.358~361 (2006)
  11. 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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