논문KCI 등재
On the modified degenerate Bernoulli polynomials
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초록
In this paper, we consider the modied degenerate Bernoulli polynomials and numbers which are different from Carlitz's degenerate Bernoulli polynomials and numbers. Finally, we give some identities and formulas of these polynomials and numbers.
Abstract
In this paper, we consider the modied degenerate Bernoulli polynomials and numbers which are different from Carlitz's degenerate Bernoulli polynomials and numbers. Finally, we give some identities and formulas of these polynomials and numbers.
참고문헌 (9)
- Bayad, "IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 20(2), pp.247~253 (2010), 장전수학회
- L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
- Dan Ding, "Some identities related to the Apostol-Euler and Apostol-Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 20(1), pp.7~21 (2010), 장전수학회
- S. Gaboury, "Some explicit formulas for certain new classes of Bernoulli, Euler and Genocchi polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 17(1), pp.115~123 (2014), 장전수학회
- 김대산, "Barnes' multiple Bernoulli and Hermite mixed-type polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 18(1), pp.7~19 (2015), 장전수학회
- 김대산, "Some arithmetic properties of Bernoulli and Euler numbers", Advanced Studies in Contemporary Mathematics, 22(4), pp.467~480 (2012), 장전수학회
- 김태균, "On the weighted q-Bernoulli numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(2), pp.207~215 (2011), 장전수학회
- T. Kim, "Some properties on the integral of the product of several Euler polynomials", Quaest. Math, 38(4), pp.553~562 (2015)
- C. S. Ryoo, "A new identities on the q-Bernoulli numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(2), pp.161~169 (2011), 장전수학회
관련 논문AI추천
SOME PROPERTIES OF GENERALIZED DEGENERATE BERNOULLI POLYNOMIALS AND NUMBERS권종겸, 김원주, Lee-Chae Jang장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제4호A note on degenerate Apostol-Bernoulli numbers and polynomials권혁인, 김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제2호Modified degenerate Euler polynomials권혁인, 김태균, 서종진장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제1호On degenerate $q$-Bernoulli polynomials김태균대한수학회 · 대한수학회보2016 · 제53권 제4호A NOTE ON DEGENERATE CHANGHEE NUMBERS AND POLYNOMIALS김태균, H. I. Kwon, J.-J. SEO장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제3호A 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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