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On the some identities of the type 2 Daehee and Changhee polynomials arising from p-adic integrals on Z_p

김원주|권종겸|임석훈
장전수학회 (Jangjeon Mathematical Society)|2019.07|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제22권 제3호|pp. 487-498|DOI 10.17777/pjms.2019.22.3.012

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Changhee polynomialsDaehee polynomialstype 2 Changhee polyno- mialstype 2 Daehee polynomials
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초록

Recently, Kim et al. introduced the type 2 Daehee and Changhee polynomials and give some new identities for these polynomials and numbers. In this paper, we study type 2 Daehee and Changhee polynomials and numbers arising from p-adic integrals on Zp. Regarding to those polynomials and numbers, we investigate some identities, Witt's formula, and distribution relation of these polynomials and numbers.

Abstract

Recently, Kim et al. introduced the type 2 Daehee and Changhee polynomials and give some new identities for these polynomials and numbers. In this paper, we study type 2 Daehee and Changhee polynomials and numbers arising from p-adic integrals on Zp. Regarding to those polynomials and numbers, we investigate some identities, Witt's formula, and distribution relation of these polynomials and numbers.

참고문헌 (20)

  1. L. Comtet, "Nombres de Stirling generaux et fonctions symetriques", C. R. Acad, Sci. Paris Ser. A., pp.747~750 (1972)
  2. L. Comtet, "Advanced combinatorics: the art of finite and infinite expansions" (1974), Reidel
  3. Dmitry V. Dolgy, "EXPLICIT EXPRESSIONS FOR CATALAN-DAEHEE NUMBERS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(1), pp.1~10 (2017), 장전수학회[DOI]
  4. B. S. El-Desouky, "New results on higher-order Daehee and Bernoulli numbers and polynomials", Adv. Dieerence Equ., (32), pp.21~ (2016)
  5. 장관우, "A note on type 2 degenerate Euler and Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 29(1), pp.147~159 (2019), 장전수학회[DOI]
  6. W. A. Khan, "Multifarious implicit summation formulae of Hermite-based poly-Daehee polynomials", Appl. Math. Inf. Sci., 12(2), pp.305~310 (2018)
  7. D. S. Kim, "Some identities of special numbers and polynomials arising from p-adic integrals on Zp", ~
  8. D. S. Kim, "Daehee numbers and polynomials", Appl. Math. Sci. (Ruse), 7(120), pp.5969~5976 (2013)
  9. Taekyun Kim, "A note on type 2 Changhee and Daehee polynomials", Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 113(3), pp.2763~2771 (2019), Springer Science and Business Media LLC[DOI]
  10. 김대산, "DEGENERATE DAEHEE POLYNOMIALS OF THE SECOND KIND", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 21(1), pp.83~97 (2018), 장전수학회[DOI]
  11. D. S. Kim, "Higher-order Daehee numbers and polynomials", Int. J. Math. Anal, 8(6), pp.273~283 (2014)
  12. 김태균, "On degenerate $q$-Bernoulli polynomials", 대한수학회보, 53(4), pp.1149~1156 (2016), 대한수학회
  13. T. Kim, "q-Euler numbers and polynomials associated with p-adic q-integrals", J. Nonlinear Math. Phys, 14, pp.15~27 (2007)
  14. T. Kim, "New approach to q-Euler polynomials of higher-order", Russ. J. Math. Phys, 17, pp.218~225 (2010)
  15. T. Kim, "A note on nonlinear Changhee differential equations", Russ. J. Math. Phys, 23(1), pp.88~92 (2016)
  16. 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
  17. C. Liu, "Application of probabilistic method on Daehee sequences", Eur. J. Pure Appl. Math., 11(1), pp.69~78 (2018)
  18. H. -K. Pak, "Changhee-Genocchi numbers and their applica-tions", Ars Combin., 136, pp.153~159 (2018)
  19. S. Roman, "The Umbral Calculus" (1984), Academic Press
  20. 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]

관련 논문AI추천

SOME 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 제1호SOME IDENTITIES OF SYMMETRY FOR DAEHEE POLYNOMIALS ARISING FROM p-ADIC INVARIANT INTEGRAL ON Zp김태균, 서종진장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제2호Symmetry identities for Changhee polynomials arising from the fermionic p-adic integral on Zp김태균, 서종진, D. V. Dolgy장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제2호SOME IDENTITIES OF THE POLY-CHANGHEE AND UNIPOLY CHANGEE POLYNOMIALS권종겸, 박진우, 윤상조장전수학회 · Advanced Studies in Contemporary Mathematics2021 · 제31권 제4호A note on -Daehee polynomials and numbers김태균, 서종진, 이상훈, TOUFIK MANSOUR장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제2호IDENTITIES ON THE CHANGHEE NUMBERS AND APOSTOL-TYPE DAEHEE POLYNOMIALSYILMAZ SIMSEK장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제2호

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