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A NOTE ON THE WEIGHTED p-ADIC q-EULER MEASURE ON Zp

김영희|김태균|유천성|최종성
장전수학회 (Jangjeon Mathematical Society)|2011.01|Advanced Studies in Contemporary Mathematics|제21권 제1호|pp. 35-40

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참고문헌

키워드

weighted p-adic q-Euler measure.
주제분류수학

초록

Properties of weighted q-Euler numbers and polynomials which generalize those satis¯ed by E_k and E_k(x) are used to construct weighted p-adic q-Euler measure and de¯ne weighted p-adic Dirichlet's type l-series.

Abstract

Properties of weighted q-Euler numbers and polynomials which generalize those satis¯ed by E_k and E_k(x) are used to construct weighted p-adic q-Euler measure and de¯ne weighted p-adic Dirichlet's type l-series.

참고문헌 (12)

  1. T. Kim, "On a q-analogue of the p-adic log gamma functions and related integrals", J. Number Theory, 76, pp.320~329 (1999)
  2. T. Kim, "On p-adic interpolating function for q-Euler numbers and its derivatives", J. Math. Anal. Appl, 339, pp.598~608 (2008)
  3. T. Kim, "Note on the Euler q-zeta functions", J. Number Theory, 129, pp.1798~1804 (2009)
  4. T.Kim, "Barnes type multiple q-zeta function and q-Euler polynomials", J. Physics A: Math. Theor, 43, pp.255201~255211 (2010)
  5. T.Kim, "A Note on the q-Euler Measures", ADVANCES IN DIFFERENCE EQUATIONS, 2009(ID956910), pp.8~, hindawi
  6. J. Choi, "A new approach of q-Euler numbers and polynomials"
  7. H. Ozden, "Euler polynomials associated with p-adic q-Euler measure", Gen. Math, 15, pp.24~37 (2007)
  8. H. Ozden, "A note on p -adic q -Euler measure", Advanced Studies in Contemporary Mathematics, 14(2), pp.233~240 (2007), 장전수학회
  9. S.-H. Rim, "A note on p-adic Euler measure on Zp", Russ. J. Math. Phys, 13, pp.358~361 (2006)
  10. N. Koblitz, "On Carlitz's q-Bernoulli numbers", J. Number Theory, 14, pp.332~339 (1982)
  11. H. S. Kim, "A remark on p-adic q-Bernoulli measure", Bull. Korean Math. Soc, 33, pp.39~44 (1996)
  12. T. Kim, "q-Bernoulli numbers and polynomials associated with Gaussian binomial co-efficients", Russ. J. Math. Phys, 15, pp.51~57 (2008)

관련 논문AI추천

A note on p -adic q -Euler measureH. Ozden, I. Cang？l, S.-H. Rim, Y. Simsek장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제14권 제2호A note on some formulae for the q-Euler numbers and polynomials김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2006 · 제9권 제2호On the q-analogue of Euler measure with weight αB. Lee, C. S. Ryoo, D. V. Dolgy, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제4호On the modified q-Euler numbers of higher order with weightJ. H. Jeong, S. H. Rim장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제1호A note on p -adic q-integral on Z_p associated with q-Euler numbersT. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제15권 제2호q-Bernoulli numbers and polynomials related to p-adic invariant integral on z_pAND T. KIM, D. V. Dolgy, J.-J. SEO, S. H. LEE, S. H. Rim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제3호

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