본문 바로가기
KERD
논문KCI 등재

EXPANSIONS OF DEGENERATE q-EULER NUMBERS AND POLYNOMIALS

김태균|DMITRY V. DOLGY|권혁인
장전수학회 (Jangjeon Mathematical Society)|2016.10|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제19권 제4호|pp. 625-630|DOI 10.17777/pjms.2016.19.4.003

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

p-adic integralq-Euler numberhigher-order q-Euler numbersdegenerate Euler numbers
주제분류수학

초록

In this paper, we study the extended higher-order degenerate q-Euler numbers and polyno- mials arising from the fermionic p-adic q-integral on Zp. In addition, we give some new properties and relations for these numbers and polynomials.

Abstract

In this paper, we study the extended higher-order degenerate q-Euler numbers and polyno- mials arising from the fermionic p-adic q-integral on Zp. In addition, we give some new properties and relations for these numbers and polynomials.

참고문헌 (12)

  1. L. Carlitz, "Expansions of q-Bernoulli numbers", Duke Math. J., 25, pp.355~364 (1958)
  2. L. Carlitz, "q-Bernoulli and Eulerian numbers", Trans. Amer. Math. Soc, 76, pp.332~350 (1954)
  3. L. Carlitz, "q-Bernoulli numbers and polynomials", Duke Math. J., 15, pp.987~1000 (1948)
  4. L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
  5. D. V. Dolgy, "On degenerate q-Euler polynomials", Appl. Math. Sci., (115), pp.5779~5786 (2015)
  6. L.-C. Jang, "SA note on the Barnes-type q-Euler polynomials,", Adv. Difference Equ, 2015(250), pp.7~ (2015)
  7. D. S. Kim, "Some identities of symmetry for the generalized q-Euler polynomials", Appl. Math. Comput., 235, pp.408~411 (2014)
  8. D. S. Kim, "Some symmetric identities involving Carlitz-type q-Euler polynomials", Appl. Math. Sci. (Ruse), 8(37-40), pp.1915~1923 (2014)
  9. T. Kim, "A note on q-Volkenborn integration", Proc. Jangjeon Math. Soc, 8(1), pp.13~17 (2005)
  10. A. I. Shtern, "STRONGLY TRANSLATION CONTINUOUS FUNCTIONALS ON THE SPACE LUC(G) FOR AN AMENABLE TOPOLOGICAL GROUP G", Advanced Studies in Contemporary Mathematics, 23(1), pp.5~11 (2013), 장전수학회
  11. T. Kim, "Degenerate q-Euler polynomials", Adv. Difference Equ, 2015(246), pp.11~ (2015)
  12. T. Kim, "Some identities on the q-Euler polynomials of higher-order and q-Stirling numbers by the fermionic p-adic integral on Zp", Russ. J. Math. Phys, 16(4), pp.484~491 (2009)

관련 논문AI추천

HIGHER-ORDER DEGENERATE q-BERNOULLI POLYNOMIALS김태균, 장관우장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제1호IDENTITIES OF SYMMETRY FOR DEGENERATE q-EULER POLYNOMIALSD. V. Dolgy, J. J. Seo, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제4호A note on some formulae for the q-Euler numbers and polynomials김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2006 · 제9권 제2호Note on the q-Euler numbers of higher order김태균장전수학회 · Advanced Studies in Contemporary Mathematics2009 · 제19권 제1호HIGHER-ORDER TWISTED q-EULER POLYNOMIALS AND NUMBERS김대열, 김민수, 김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제2호On the q-extension of higher-order Euler polynomials김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제3호

이 간행물의 다른 논문 (13건)

EXTENSION OF PSEUDOCHARACTERS FROM NORMAL SUBGROUPS, IIIA. I. Shternpp. 609-614Generalized Net Model of the Process of Personalization and Usage of an e-Learning EnvironmentDaniela Orozova, Krassimir Atanassov, Magdalina Todorovapp. 615-624THE p-BINOMIAL TRANSFORM, CAUCHY NUMBERS AND FIGURATE NUMBERSBORISLAV STANISHEV BORISOVpp. 631-644ON STABILITY OF LINEAR IMPULSIVE SYSTEMS구남집, 최성규, 강보원pp. 645-651SOME RESULTS ON ANALYTIC FUNCTIONS ASSOCIATED WITH VERTICAL STRIP DOMAIN권오상, 심영재pp. 653-661
원문 보기