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$q$-Analogue of Euler-Barnes' numbers and polynomials

김태균|장이채
대한수학회 (The Korean Mathematical Society)|2005.08|대한수학회보 (Bulletin of the KMS)|제42권 제3호|pp. 491-499

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Abstract

Recently, Kim[2,6] has introduced an interesting Euler-Barnes' numbers and polynomials. In this paper, we construct theq-analogue of Euler-Barnes' numbers and polynomials, and inves-tigate their properties.

참고문헌 (13)

  1. "An invariant p-adic Integral associated with Daehee numbers", 13, pp.65~69 (2002)
  2. "p-adic q-integral associated with Changhee-Barnes' q-Bernoulli polyno-mials", 15 (2004)
  3. "Kummer Congruence for the Bernoulli numbers of higher order", 151, pp.589~593 (2004)
  4. "q-Riemann Zeta functions", 2004(12), pp.599~605 (2004)
  5. "Analytic continuation of multiple q-Zeta functions and their values atnegative integers", 11, pp.71~76 (2004)
  6. "On Euler-Barnes multiple zeta functions", 10, pp.261~267 (2003)
  7. "q-Volkenborn integration", 9, pp.288~299 (2002)
  8. "On p-adic q-L-functions and sums of powers", 252, pp.179~187 (2002)
  9. "Some formulae for the q-Bernoulli and Euler polynomials of higherorder", 273, pp.236~242 (2002)
  10. "A note on q-multiple Zeta function", 34, pp.643~646 (2001)
  11. "On p-adic q-Bernoulli numbers", 37, pp.27~30 (2000)
  12. "A note on Dirichlet L-series", 6, pp.161~166 (2004)
  13. "A note on the q-analogue of multiple zeta function", 8, pp.111~113 (2004)

관련 논문AI추천

Some remarks on a q-analogue of Bernoulli numbersJin-Woo Son, Min-Soo Kim대한수학회 · 대한수학회지2002 · 제39권 제2호New q-Euler numbers and polynomials associated with p-adic q-integralsL. Jang, M. S. Kim, S. H. Rim, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제15권 제2호A note on the extended q-Bernoulli numbers and polynomials김영희, 김태균, 최종성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제4호On $q$-analgue of the twisted $L$-functions and\ $q$-twisted Bernoulli\ numbersYilmaz Simsek대한수학회 · 대한수학회지2003 · 제40권 제6호A note on the weighted q-Euler numbers and polynomials유천성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제1호A note on the modified q-Bernoulli polynomials권종겸, 박진우, 서종진, 임석훈장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제4호

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