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Degenerate Cauchy numbers and polynomials of the second kind

김태균
장전수학회 (Jangjeon Mathematical Society)|2017.10|Advanced Studies in Contemporary Mathematics|제27권 제4호|pp. 441-449|DOI http://dx.doi.org/10.17777/ascm2017.27.4. 441

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키워드

degenerate Cauchy numbers and polynomials
주제분류수학

초록

Recently, degenerate Cauchy numbers and polynomials are introduced in [10]. In this paper, we study the degenerate Cauchy numbers and polynomials which are different from the previous degenerate Cauchy numbers and polynomials. In addition, we give some explicit identities for these numbers and polynomials which are derived from the generating function.

Abstract

Recently, degenerate Cauchy numbers and polynomials are introduced in [10]. In this paper, we study the degenerate Cauchy numbers and polynomials which are different from the previous degenerate Cauchy numbers and polynomials. In addition, we give some explicit identities for these numbers and polynomials which are derived from the generating function.

참고문헌 (13)

  1. L. Carlitz, "Some congruences for the Bell polynomials", Pacific J. Math, 11, pp.1215~1222 (1961)
  2. L. Carlitz, "Bernoulli and Eulerian numbers", 15, pp.51~88 (1979)
  3. D. V. Dolgy, "Degenerate poly-Cauchy polynomials", Appl. Math. Comput, 269, pp.637~646 (2015)
  4. B. S. El-Desouky, "New results on higher-order Daehee and Bernoulli numbers and polynomials", Adv. Difference Equ, 32, pp.21~ (2016)
  5. G.-W. Jang, "Some identities of degenerate Deehee numbers arising from nonlinear differential equation", pp.206~ (2017), Adv. Difference Equ
  6. 정주희, "On finite times degenerate higher-order Cauchy numbers and polynomials", 대한수학회보, 53(5), pp.1427~1437 (2016), 대한수학회
  7. D. S. Kim, "Higher-order Daehee numbers and polynomials", J. Math. Anal, 8(5-8), pp.273~283 (2014)
  8. D. S. Kim, "Degenerate poly-Cauchy polynomials with a q parameter", J. Inequal, 364, pp.15~ (2015)
  9. D. S. Kim, "Daehee numbers and polynomials", Appl. Math. Sci, 7(117-120), pp.5969~5976 (2013)
  10. 김태균, "ON THE DEGENERATE CAUCHY NUMBERS AND POLYNOMIALS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 18(3), pp.307~312 (2015), 장전수학회
  11. T. Kim, "An invariant p-adic integral associated with Daehee numbers", Integral Transforms Spec. Funct, 13(1), pp.65~69 (2002)
  12. YILMAZ SIMSEK, "IDENTITIES ON THE CHANGHEE NUMBERS AND APOSTOL-TYPE DAEHEE POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 27(2), pp.199~212 (2017), 장전수학회[DOI]
  13. P. G. Todorov, "On the Cauchy numbers", Facta Univ. Ser. Math. Inform, 8, pp.1~10 (1993)

관련 논문AI추천

ON THE DEGENERATE CAUCHY NUMBERS AND POLYNOMIALS김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제3호DEGENERATE CAUCHY NUMBERS AND POLYNOMIALS OF THE FOURTH KIND표성수장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제1호ON THE DEGENERATE HIGHER-ORDER CAUCHY NUMBERS AND POLYNOMIALS김태균장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제3호A note on degenerate stirling polynomials of the second kind김택연장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제3호DEGENERATE DAEHEE POLYNOMIALS OF THE SECOND KIND권혁인, 김대산, 김태균, 장관우장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제1호A note on degenerate central factorial polynomials of the second kind김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제1호

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