본문 바로가기
KERD
논문KCI 등재

DEGENERATE DAEHEE POLYNOMIALS OF THE SECOND KIND

김태균|김대산|장관우|권혁인
장전수학회 (Jangjeon Mathematical Society)|2018.01|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제21권 제1호|pp. 83-97|DOI 10.17777/pjms.2018.21.1.009

2

조회

0

다운로드

1

인용

0

참고문헌

키워드

Daehee polynomialsstirling numbersdegenerate polynomialsBernoulli polynomials
주제분류수학

초록

In this paper, we consider the degenerate Daehee numbers and polynomials of the second kind which are different from the previously introduced degenerate Daehee numbers and polynomials. We investigate some properties of these numbers and polynomials. In addition, we give some new identities and relations between the Daehee polynomials of the second kind and Carlitz's degenerate Bernoulli polynomials.

Abstract

In this paper, we consider the degenerate Daehee numbers and polynomials of the second kind which are different from the previously introduced degenerate Daehee numbers and polynomials. We investigate some properties of these numbers and polynomials. In addition, we give some new identities and relations between the Daehee polynomials of the second kind and Carlitz's degenerate Bernoulli polynomials.

참고문헌 (23)

  1. M. Abramowitz, "Handbook of Mathematical Functions" (1966), Dover
  2. S. Araci, "Extended q-Dedekind-type Daehee-Changhee sums associated with extended q-Euler polynomials", Adv. Difference Equ., 272, pp.5~ (2015)
  3. L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math., 15, pp.51~88 (1979)
  4. B. S. El-Desouky, "Multiparameter higher order Daehee and Bernoulli numbers and polynomials", Appl. Math., 8, pp.775~785 (2017)[DOI]
  5. B. S. El-Desouky, "New Results on higher-order Daehee and Bernoulli numbers and polynomials", Adv. Difference Equ., 32, pp.21~ (2016)
  6. B. S. El-Desouky, "New Results and Matrix Representation for Daehee and Bernoulli Numbers and Polynomials", Appl. Math. Sci., 9(73), pp.3593~3610 (2015)
  7. Y. He, "A three-term reciprocity formula for Bernoulli polynomials", Util. Math., 100, pp.23~31 (2016)
  8. J. Jeong, "On Degenerate q-Daehee numbers and polynomials", Int. J. Math. Anal., 9(44), pp.2157~2170 (2015)[DOI]
  9. B. M. Kim, "On a degenerate <TEX>$\lambda$<", TEX>-q-Daehee polynomials, 2016, pp.9, 4607~4616
  10. D. S. Kim, "Daehee numbers and polynomials", Appl. Math. Sci., 7(120), pp.5969~5976 (2013)
  11. D. S. Kim, "Higher-Order Daehee Numbers and Polynomials", Int. J. Math. Anal., 8(6), pp.273~283 (2014)[DOI]
  12. D. S. Kim, "Identities arising from higher-order Daehee polynomial bases", Open Math., 13, pp.196~208 (2015)
  13. T. Kim, "Some Identities Relating to Degenerate Bernoulli Polynomials", Filomat, 30(4), pp.905~912 (2016)[DOI]
  14. T. Kim, "Some identities of degenerate Daehee numbers ariring from certain differential equations", J. Nonlinear Sci. Appl., 10, pp.744~751 (2017)[DOI]
  15. 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]
  16. D. Lim, "Fourier series of higher-order Daehee and Changhee functions and their applications", J. Inequal. Appl., pp.150~ (2017)
  17. J.-W. Park, "On a modified degenerate Daehee polynomials and numbers", J. Nonlinear Sci. Appl., 10, pp.1108~1115 (2017)[DOI]
  18. J.-W. Park, "The twisted Daehee numbers and polynomials", Adv. Difference Equ., 1, pp.9~ (2014)
  19. J.-W. Park, "The Hyper-Geometric Daehee Numbers and Polynomials", Turkish Journal of Analysis and Number Theory, 1(1), pp.59~62 (2013)
  20. S. Roman, "The umbral calculus, Pure and Applied Mathematics, 111", pp.x+193~ (1984), Academic Press. Inc;Harcourt Brace Jovanovich, Publishers
  21. 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]
  22. Y. Simsek, "Applications on the Apostol-Daehee numbers and polynomials associated with special numbers, polynomials, and p-adic integrals", Adv. Difference Equ., 308, pp.14~ (2016)
  23. N. L. Wang, "Some identities on the Higher-order Daehee and Changhee Numbers", Pure and Applied Mathematics JournaI, 4(5-1), pp.33~37 (2015)[DOI]

관련 논문AI추천

Degenerate Changhee numbers and polynomials of the second kind김대산, 김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제4호A NOTE ON POLY-DAEHEE NUMBERS AND POLYNOMIALS권종겸, 임동규장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제2호A NOTE ON DEGENERATE CHANGHEE NUMBERS AND POLYNOMIALS김태균, H. I. Kwon, J.-J. SEO장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제3호ON THE q-ANALOGUE OF DAEHEE NUMBERS AND POLYNOMIALS박진우장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제3호A note on degenerate stirling numbers and their applications권혁인, 김대산, 김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제2호SOME PROPERTIES OF GENERALIZED DEGENERATE BERNOULLI POLYNOMIALS AND NUMBERS권종겸, 김원주, Lee-Chae Jang장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제4호

이 간행물의 다른 논문 (13건)

RESTRICTION OF THE GUICHARDET–WIGNER PSEUDOCHARACTER ON SL(2;R) TO A SUBGROUP COVERING SL(2; Z)A. I. Shternpp. 1-4TWO VARIABLE HIGHER-ORDER DEGENERATE FUBINI POLYNOMIALS장관우, 김대산, 김태균, 권혁인pp. 5-22New separation axioms on closure spaces generated by relationsA.K. Das, RIA GUPTApp. 23-31A STUDY OF SLANT WEIGHTED TOEPLITZ OPERATORS IN CALKIN ALGEBRANEELIMA OHRI, Gopal Dattpp. 33-44Existence results of Sobolev type neutral impulsive integrodi erential equations in Banach spacesR.Nirmalkumar, R. Poongodi, R. Murugesupp. 45-58
원문 보기