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A note on the extended q-Bernoulli numbers and polynomials
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The purpose of this paper is to give some new identities for the extended q-Bernoulli numbers and polynomials.
Abstract
The purpose of this paper is to give some new identities for the extended q-Bernoulli numbers and polynomials.
참고문헌 (6)
- L. Carlitz, "Expansion of q-Bernoulli numbers and polynomials", Duke Math. J, 25, pp.355~364 (1958)
- L. Carlitz, "q-Bernoulli numbers and polynomials", Duke Math. J, 15, pp.987~1000 (1948)
- T. Kim, "q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients", Russ. J. Math. Phys, 15, pp.51~57 (2007)
- T.Kim, "Barnes type multiple q-zeta function and q-Euler polynomials", J. Phys. A: Math. Theor, 43, pp.255201~255211 (2010)
- T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys, 9, pp.288~299 (2002)
- T. Kim, "On the weighted q-Bernoulli numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(2), pp.207~215 (2011), 장전수학회
관련 논문AI추천
A note on the modified q-Bernoulli polynomials권종겸, 박진우, 서종진, 임석훈장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제4호Note on q-Genocchi numbers and polynomialsT. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제17권 제1호On the weighted q-Bernoulli numbers and polynomials김태균장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제2호A note on the weighted q-Euler numbers and polynomials유천성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제1호Some identities on the twisted (h, q)-Bernoulli numbers and polynomialsB. Lee, C. S. Ryoo, T. Kim, Y. H. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제3호Expansions of generalized Carlitz -Bernoulli polynomials김대산, 김태균, 서종진, 이상훈장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제2호
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