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SOME PROPERTIES OF GENERALIZED DEGENERATE BERNOULLI POLYNOMIALS AND NUMBERS

권종겸|김원주|Lee-Chae Jang
장전수학회 (Jangjeon Mathematical Society)|2022.10|Advanced Studies in Contemporary Mathematics|제32권 제4호|pp. 479-486

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참고문헌

키워드

the generalized degenerate Bernoulli polynomialsthe ordinary higher-order Bernoulli polynomialsthe Frobenius-Euler polynomials
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초록

Many researchers studied degenerate Bernoulli polynomials and their applications. In this paper, we consider the generalized degenerate Bernoulli polynomials and investigate some identities of those polynomials.

Abstract

Many researchers studied degenerate Bernoulli polynomials and their applications. In this paper, we consider the generalized degenerate Bernoulli polynomials and investigate some identities of those polynomials.

참고문헌 (12)

  1. Carlitz, L., "A degenerate Staudt-Clausen theorem", Arch. Math. (Basel), 7, pp.28~33 (1956)
  2. Carlitz, L, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
  3. Kim, D. S, "A note on a new type of degenerate Bernoulli numbers", Russ. J. Math. Phys, 27(2), pp.227~235 (2020)
  4. Kim, D. S., "Some identities of degenerate special polynomials", Open Math, 13 (2015)
  5. Kim, D. S., "Higher-order Bernoulli, Frobenious-Euler and Euler polynomials", J. Comput. Anal. Appl, 17(1), pp.147~155 (2014)
  6. Kim, T, "Degenerate polyexponential functions and degenerate Bell polynomials", J. Math. Anal. Appl, 487(2), pp.124017~ (2020)[DOI]
  7. Kim, T, "Degenerate polyexponential functions and type 2 degenerate poly-Bernoulli numbers and polynomials", Adv. Diff. Equ, 1, pp.1~12 (2020)[DOI]
  8. Kim, T., "Identities for degenerate Bernoulli polynomials and Korobov polynomials of the first kind", Sci. Chana Math, 62, pp.999~1028 (2019)[DOI]
  9. 김택연, "A note on degenerate stirling polynomials of the second kind", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(3), pp.319~332 (2017), 장전수학회[DOI]
  10. Kim, D. S., "Representations by degenerate Bernoulli polynomials arising from Volkenborn integral", Math. Methods Appl. Sci, 45(11), pp.6615~6634 (2022)
  11. Kim, T., "On generalized degenerate Euler-Genocchi polynomials", arXiv:2208.07549v1, ~
  12. 김태균, "SOME IDENTITIES OF DEGENERATE FROBENIUS-EULER POLYNOMIALS AND NUMBERS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 19(1), pp.157~163 (2016), 장전수학회

관련 논문AI추천

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