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Degenerate Changhee numbers and polynomials of the second kind

김태균|김대산|장관우
장전수학회 (Jangjeon Mathematical Society)|2017.10|Advanced Studies in Contemporary Mathematics|제27권 제4호|pp. 609-624|DOI http://dx.doi.org/10.17777/ascm2017.27.4.609

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참고문헌

키워드

Changhee polynomialsstirling numbersdegenerate Changhee polynomials of the second kindfermionic p-adic integrals
주제분류수학

초록

In this paper, we consider the degenerate Changhee numbers and polynomials of the second kind which are different from the previously introduced degenerate Changhee numbers and polynomials by Kwon-Kim-Seo (see [11]). We investigate some interesting identities and properties for these numbers and polynomials. In addition, we give some new relations between the degenerate Changhee polynomials of the second kind and the Carlitz's degenerate Euler polynomials.

Abstract

In this paper, we consider the degenerate Changhee numbers and polynomials of the second kind which are different from the previously introduced degenerate Changhee numbers and polynomials by Kwon-Kim-Seo (see [11]). We investigate some interesting identities and properties for these numbers and polynomials. In addition, we give some new relations between the degenerate Changhee polynomials of the second kind and the Carlitz's degenerate Euler polynomials.

참고문헌 (20)

  1. S. Araci, "Extended q-Dedekind-type Daehee-Changhee sums associated with ex-tended q-Euler polynomials", Adv. Difference Equ, (2015), pp.272~275 (2015)
  2. L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
  3. L. Carlitz, "A degenerate Staudt-Clausen theorem", Arch. Math. (Basel), 7, pp.28~33 (1956)
  4. B. S. El-Desouky, "New Results on higher-order Daehee and Bernoulli numbers and polynomials", Adv. Difference Equ, (2016), pp.32~ (2016)
  5. D.-D. Su, "Some new formulas for the products of the Frobenius-Euler polynomials", Adv. Difference Equ, (2017), pp.171~ (2017)
  6. B. M. Kim, "Some explicit identities on Changhee-Genocchi polynomials and numbers", Adv. Difference Equ, (2016), pp.202~ (2016)
  7. D. S. Kim, "Note on Changhee polynomials and numbers", Adv. Studies Theor. Phys, 7(20), pp.993~1003 (2013)
  8. D. S. Kim, "Identities of symmetry for the generalized degenerate Euler polynomials, Modern Mathematical methods and high performance computing in science and technology", Springer Proc. Math. Stat., 171, pp.35~43 (2016), Springer
  9. T. Kim, "A note on nonlinear Changhee differential equations", Russ. J. Math. Phys, 23(1), pp.88~92 (2016)
  10. 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]
  11. H. I. Kwon, "A NOTE ON DEGENERATE CHANGHEE NUMBERS AND POLYNOMIALS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 18(3), pp.295~305 (2015), 장전수학회
  12. J. Kwon, "On modified degenerate Changhee polynomials and numbers", J. Nonlinear Sci. Appl, 9(12), pp.6294~6301 (2016)
  13. J. G. Lee, "On Appell-type Changhee poly-nomials and numbers", Adv. Difference Equ, (2016), pp.160~ (2016)
  14. D. Lim, "Fourier series of higher-order Daehee and Changhee functions and their applica-tions", J. Inequal. Appl, (2017), pp.15~ (2017)
  15. J.-W. Park, "On the twisted q-Changhee polynomials of higher order", J. Comput. Anal. Appl, 20(3), pp.424~431 (2016)
  16. 임석훈, "THE n-TH TWISTED CHANGHEE POLYNOMIALS AND NUMBERS", 대한수학회보, 52(3), pp.741~749 (2015), 대한수학회
  17. C. S. Ryoo, "Symmetric identities for degenerate (h; q)-tangent polynomials associated with the p-adic integral on Zp", Inter. J. Math. Anal, 11(8), pp.353~362 (2017)
  18. 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]
  19. Y. Simsek, "Analysis of the p-adic q-Volkenborn integrals: an approach to generalized Apostol-type special numbers and polynomials and their applications", Cogent Math, 3, pp.17~ (2016)
  20. N. L. Wang, "Some identities on the Higher-order Daehee and Changhee Numbers", Pure Appl. Math. J, 4(5-1), pp.33~37 (2015)

관련 논문AI추천

DEGENERATE DAEHEE POLYNOMIALS OF THE SECOND KIND권혁인, 김대산, 김태균, 장관우장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제1호A NOTE ON DEGENERATE CHANGHEE NUMBERS AND POLYNOMIALS김태균, H. I. Kwon, J.-J. SEO장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제3호SOME 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 제1호ON TYPE 2 DEGENERATE CHANGHEE POLYNOMIALS김윤재, 박진우장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제2호Some identities of the partially degenerate Changhee-Genocchi polynomials and numbers권종겸, 김윤재, 손교용, 이정곤장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제4호A NOTE ON THE MODIFIED TYPE 2 DEGENERATE POLY-CHANGHEE-GENOCCHI NUMBERS AND POLYNOMIALS김한영, 장이채장전수학회 · Advanced Studies in Contemporary Mathematics2021 · 제31권 제3호

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