본문 바로가기
KERD
논문KCI 등재

THE n-TH TWISTED CHANGHEE POLYNOMIALS AND NUMBERS

표성수|박진우|권종겸|임석훈
대한수학회 (The Korean Mathematical Society)|2015.05|대한수학회보 (Bulletin of the KMS)|제52권 제3호|pp. 741-749

2

조회

0

다운로드

4

인용

0

참고문헌

키워드

Euler numbersChanghee numberstwisted Changhee numbers
주제분류수학

초록

The Changhee polynomials and numbers are introduced in [6]. Some interesting identities and properties of those polynomials are derived from umbral calculus (see [6]). In this paper, we consider Witt- type formula for the n-th twisted Changhee numbers and polynomials and derive some new interesting identities and properties of those polynomials and numbers from the Witt-type formula which are related to special polynomials.

Abstract

The Changhee polynomials and numbers are introduced in [6]. Some interesting identities and properties of those polynomials are derived from umbral calculus (see [6]). In this paper, we consider Witt- type formula for the n-th twisted Changhee numbers and polynomials and derive some new interesting identities and properties of those polynomials and numbers from the Witt-type formula which are related to special polynomials.

참고문헌 (16)

  1. S. Araci, "A note on the Frobenius-Euler numbers and polynomials associated with Bernstein polynomials", Advanced Studies in Contemporary Mathematics, 22(3), pp.399~406 (2012), 장전수학회
  2. Abdelmejid Bayad, "Modular properties of elliptic Bernoulli and Euler functions", Advanced Studies in Contemporary Mathematics, 20(3), pp.389~401 (2010), 장전수학회
  3. J. Choi, "Some arithmetic identities on Bernoulli and Euler numbers arising from the p-adic integrals on Zp", Advanced Studies in Contemporary Mathematics, 22(2), pp.239~247 (2012), 장전수학회[DOI]
  4. Dan Ding, "Some identities related to the Apostol-Euler and Apostol-Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 20(1), pp.7~21 (2010), 장전수학회
  5. 김대산, "A note on Eulerian polynomials associated with Bernoulli and Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 22(3), pp.379~389 (2012), 장전수학회[DOI]
  6. D. S. Kim, "A note on Changhee polynomials and numbers", Adv. Studies Theor. Phys, 7(20), pp.993~1003 (2013)
  7. T. Kim, "Non-Archimedean q-integrals associated with multiple Changhee q-Bernoulli polynomials", Russ. J. Math. Phys, 10(1), pp.91~98 (2003)
  8. T. Kim, "p-adic q-integrals associated with the Changhee-Barnes’ q-Bernoulli polynomi-als", Integral Transforms Spec. Funct, 15(5), pp.415~420 (2004)
  9. T. Kim, "Umbral calculus and Sheffer sequences of polynomials", J. Math. Phys, 54(8), pp.083504~ (2013)
  10. T. Kim, "On Changhee-Barnes’ q-Euler numbers and polynomials", Adv. Stud. Contemp. Math, 9(2), pp.81~86 (2004)
  11. T. Kim, "New Changhee q-Euler numbers and polynomials associated with p-adic q-integrals", Comput. Math. Appl, 54(4), pp.484~489 (2007)
  12. Qiu-Ming Luo, "q-analogues of some results for the Apostol-Euler polynomials", Advanced Studies in Contemporary Mathematics, 20(1), pp.103~113 (2010), 장전수학회
  13. C. S. Ryoo, "Exploring the multiple Changhee q-Bernoulli polynomials", Int. J. Comput. Math, 82(4), pp.483~493 (2005)
  14. C. S. Ryoo, "On the real roots of the Changhee-Barnes’ q-Bernoulli polyno-mials", Proceedings of the 15th International Conference of the Jangjeon Mathematical Society, pp.63~85 (2004), Jangjeon Math. Soc
  15. Y. Simsek, "Special functions related to Dedekind-type DC-sums and their applications", Russ. J. Math. Phys, 17(4), pp.495~508 (2010)
  16. Y. Simsek, "Barnes’ type multiple Changhee q-zeta functions", Adv. Stud. Contemp. Math, 10(2), pp.121~129 (2005)

관련 논문AI추천

A note on the (h,q)-Changhee numbers and polynomials박진우, 황석윤장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제1호A note on -Daehee polynomials and numbers김태균, 서종진, 이상훈, TOUFIK MANSOUR장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제2호On a (r,s)-Analogue of Changhee and Daehee Numbers and Polynomials김태균, 임석훈, 조영기, Toufik Mansour경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제2호SOME IDENTITIES OF THE POLY-CHANGHEE AND UNIPOLY CHANGEE POLYNOMIALS권종겸, 박진우, 윤상조장전수학회 · Advanced Studies in Contemporary Mathematics2021 · 제31권 제4호A 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 the partially degenerate Changhee-Genocchi polynomials and numbers권종겸, 김윤재, 손교용, 이정곤장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제4호

이 간행물의 다른 논문 (28건)

THE FUNDAMENTAL THEOREM OF ALGEBRA AND THE DIVERGENCE OF RECIPROCALS OF PRIMES LOOKED AT THROUGH BERGMAN SPACESYunus E. Zeytuncupp. 699-705GENERALIZATION OF INEQUALITIES ANALOGOUS TO HERMITE–HADAMARD INEQUALITY VIA FRACTIONAL INTEGRALSKiran Nazeer, Muhammad Iqbal, Muhammad Iqbal Bhattipp. 707-716CLASSIFICATION ON ARITHMETIC FUNCTIONS AND CORRESPONDING FREE-MOMENT L-FUNCTIONS조일우pp. 717-734AN ESTIMATE OF HEMPEL DISTANCE FOR BRIDGE SPHERESAyako Idopp. 735-740NEW CHARACTERIZATIONS OF COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALLZe-Hua Zhou, Zhong-Shan Fangpp. 751-759
원문 보기