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HIGHER-ORDER DEGENERATE q-BERNOULLI POLYNOMIALS
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In this paper, we study the higher-order degenerate q-Bernoulli polynomials which are derived from the p-adic q-integrals on Zp. In addition, we give some identities and properties for these polynomials.
Abstract
In this paper, we study the higher-order degenerate q-Bernoulli polynomials which are derived from the p-adic q-integrals on Zp. In addition, we give some identities and properties for these polynomials.
참고문헌 (13)
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- D. V. Dolgy, "Symmetry identities for the generalized higher-order q-Bernoulli polynomials under arising from -adic Volkenborn ingegral on Z_p", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 17(4), pp.645~650 (2014), 장전수학회
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- G. D. Liu, "Degenerate Bernoulli numbers and polynomials of higher order", J. Math. (Wuhan), 25(3), pp.283~288 (2005)
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- Y. Simsek, "Twisted (h, q)-Bernoulli numbers and polynomials related to twisted (h, q)-zeta function and L-function", J. Math. Anal. Appl, 324(2), pp.790~804 (2006)
관련 논문AI추천
SYMMETRIC IDENTITIES OF HIGHER-ORDER DEGENERATE q-BERNOULLI POLYNOMIALS권혁인, 김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제1호On degenerate $q$-Bernoulli polynomials김태균대한수학회 · 대한수학회보2016 · 제53권 제4호IDENTITIES OF SYMMETRY FOR DEGENERATE q-BERNOULLI POLYNOMIALSH-I Kwon, J. J. Seo, T. Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제4호EXPANSIONS OF DEGENERATE q-EULER NUMBERS AND POLYNOMIALS권혁인, 김태균, DMITRY V. DOLGY장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제4호DEGENERATE BERNOULLI POLYNOMIALS ASSOCIATED WITH p-ADIC INVARIANT INTEGRAL ON ZpT. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제3호Revisit symmetric identities higher-order degenerate q-Bernoulli polynomials under the symmetry group of degree 3권혁인, 김태균, 서종진장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제4호
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