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ON THE q-ANALOGUE OF DAEHEE NUMBERS AND POLYNOMIALS

박진우
장전수학회 (Jangjeon Mathematical Society)|2016.07|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제19권 제3호|pp. 537-544|DOI 10.17777/pjms.2016.19.3.010

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참고문헌

키워드

q-Daehee polynomialsq-Bernoulli polynomialsq-analogue of Daehee polynomials
주제분류수학

초록

In this paper, we introduce a new q-analogue of the Daehee numbers and polynomials of the first kind and the second kind, and derive some new interesting identities.

Abstract

In this paper, we introduce a new q-analogue of the Daehee numbers and polynomials of the first kind and the second kind, and derive some new interesting identities.

참고문헌 (17)

  1. S. Arici, "On a q-analogue of some numbers and polynomi-als", J. Ineqal. Appl, 2015(19) (2015)
  2. Y. K. Cho, "Higher-order q-Daehee polynomials", J. Comput. Anal. Appl., 19(1), pp.167~173 (2015)
  3. L. Comtet, "Advanced Combinatorics" (1974), Reidel
  4. B. N. Guo, "Some identities and an explicit formula for Bernoulli and Stirling numbers", J. Comput. Appl. Math, 255, pp.568~579 (2014)
  5. D. S. Kim, "Daehee numbers and polynomials", Appl. Math. Sci., 7(120), pp.5969~5976 (2013)
  6. D. S. Kim, "Daehee polynomials with q-parameter", Adv. Studies Theor. Phys., 8(13), pp.561~569 (2014)
  7. T. Kim, "On q-analogye of the p-adic log gamma functions and related integral", J. Number Theory, 76(2), pp.320~329 (1999)
  8. T. Kim, "An invariant p-adic integral associated with Daehee numbers", Integral Transforms Spec. Funct, 13(1), pp.65~69 (2002)
  9. T. Kim, "q-Volkenborn integration", J. Math. Phys, 9(3), pp.288~299 (2002)
  10. Q. L. Luo, "Some recursion formulae and relations for Bernoulli numbers and Euler numbers of higher order", Adv. Stud. Contemp. Math, 10(1), pp.63~70 (2005)
  11. 문은정, "A NOTE ON THE GENERALIZED q-DAEHEE NUMBERS OF HIGHER ORDER", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 17(4), pp.557~565 (2014), 장전수학회
  12. H. Ozden, "Remarks on q-Bernoulli numbers associated with Daehee numbers", Advanced Studies in Contemporary Mathematics, 18(1), pp.41~48 (2009), 장전수학회
  13. J. W. Park, "On the q-analogue of λ-Daehee polynomials", J. Comput. Anal. Appl, 19(6), pp.966~974 (2015)
  14. J. W. Park, "On the twisted q-Daehee polynomials of higher order", Far East J. Math. Sci, 92(2), pp.233~245 (2014)
  15. J. W. Park, "The twisted Daehee numbers and polynomials", Adv. Difference Equ, 2014(1) (2014)
  16. S. Roman, "The umbral calculus" (2005), Dover Publ. Inc
  17. Yilmaz Simsek, "Generating functions of the twisted Bernoulli numbers and polynomials associated with their interpolation functions", Advanced Studies in Contemporary Mathematics, 16(2), pp.251~278 (2008), 장전수학회

관련 논문AI추천

A note on -Daehee polynomials and numbers김태균, 서종진, 이상훈, TOUFIK MANSOUR장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제2호A NOTE ON POLY-DAEHEE NUMBERS AND POLYNOMIALS권종겸, 임동규장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제2호DEGENERATE DAEHEE POLYNOMIALS OF THE SECOND KIND권혁인, 김대산, 김태균, 장관우장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제1호A note on the (h,q)-Changhee numbers and polynomials박진우, 황석윤장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제1호A note on Carlitz's type q-Changhee numbers and polynomials권혁인, 김태균, 장관우, Dmitry V. Dolgy장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제4호A NOTE ON DEGENERATE CHANGHEE NUMBERS AND POLYNOMIALS김태균, H. I. Kwon, J.-J. SEO장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제3호

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