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On degenerate $q$-Bernoulli polynomials

김태균
대한수학회 (The Korean Mathematical Society)|2016.07|대한수학회보 (Bulletin of the KMS)|제53권 제4호|pp. 1149-1156

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참고문헌

키워드

degenerate Bernoulli polynomials$q$-Bernoulli polynomial$q$-Volkenborn integral
주제분류수학

초록

In this paper, we introduce the degenerate Carlitz $q$-Bernoulli numbers and polynomials and give some interesting identities and properties of these numbers and polynomials which are derived from the generating functions and $p$-adic integral equations.

Abstract

In this paper, we introduce the degenerate Carlitz $q$-Bernoulli numbers and polynomials and give some interesting identities and properties of these numbers and polynomials which are derived from the generating functions and $p$-adic integral equations.

참고문헌 (12)

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  2. L. Carlitz, "q-Bernoulli numbers and polynomials", Duke Math. J, 15, pp.987~1000 (1948)
  3. L. Carlitz, "A degenerate Staudt-Clausen theorem", Arch. Math. (Basel), 7, pp.28~33 (1956)
  4. L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
  5. 최종성, "A note on the extended q-Bernoulli numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(4), pp.351~354 (2011), 장전수학회
  6. 강동진, "ON THE TWISTED WEAK WEIGHT q-BERNOULLI POLYNOMIALS AND NUMBERS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 16(2), pp.195~201 (2013), 장전수학회
  7. 김대산, "Abundant symmetry for higher-order Bernoulli polynomials (I)", Advanced Studies in Contemporary Mathematics, 23(3), pp.459~479 (2013), 장전수학회
  8. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys, 9(3), pp.288~299 (2002)
  9. T. Kim, "q-Bernoulli numbers and polynomials associated with Gaussian binomial coef-ficients", Russ. J. Math. Phys, 15, pp.51~57 (2007)
  10. 김태균, "On the weighted q-Bernoulli numbers and polynomials", Advanced Studies in Contemporary Mathematics, 21(2), pp.207~215 (2011), 장전수학회
  11. 박진우, "New approach to -Bernoulli polynomials with weight or weak weight", Advanced Studies in Contemporary Mathematics, 24(1), pp.39~44 (2014), 장전수학회
  12. J.-J. SEO, "q-Bernoulli numbers and polynomials related to p-adic invariant integral on z_p", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 16(3), pp.321~326 (2013), 장전수학회

관련 논문AI추천

HIGHER-ORDER DEGENERATE q-BERNOULLI POLYNOMIALS김태균, 장관우장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제1호IDENTITIES OF SYMMETRY FOR DEGENERATE q-BERNOULLI POLYNOMIALSH-I Kwon, J. J. Seo, T. Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제4호SYMMETRIC IDENTITIES OF HIGHER-ORDER DEGENERATE q-BERNOULLI POLYNOMIALS권혁인, 김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제1호On the modified degenerate Bernoulli polynomials권혁인, 김태균, 서종진, DMITRY V. DOLGY장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제1호A note on degenerate Apostol-Bernoulli numbers and polynomials권혁인, 김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제2호SOME IDENTITIES OF CARLITZ'S TYPE DEGENERATE q-CHANGHEE POLYNOMIALS AND NUMBERS박진우, Jongkyum Kwon, Yunjae Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2021 · 제24권 제1호

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