본문 바로가기
KERD
논문KCI 등재

SYMMETRIC IDENTITIES FOR AN ANALOGUE OF CATALAN POLYNOMIALS

김태균|서종진|김대산
장전수학회 (Jangjeon Mathematical Society)|2016.07|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제19권 제3호|pp. 515-521|DOI 10.17777/pjms.2016.19.3.008

2

조회

0

다운로드

3

인용

0

참고문헌

키워드

Catalan numbersymmetry identities
주제분류수학

초록

In this paper, we consider an analogue of Catalan polynomials and give some identities of symmetry for those polynomials by using fermionic p-adic integrals on the ring of p-adic integers.

Abstract

In this paper, we consider an analogue of Catalan polynomials and give some identities of symmetry for those polynomials by using fermionic p-adic integrals on the ring of p-adic integers.

참고문헌 (16)

  1. H. W. Gould, "Sums and convolved sums of Catalan numbers and their gener-ating functions", Indian J. Math, 46(2-3), pp.137~160 (2004)
  2. R. Hampel, "On the problem of Catalan", (Polish) Prace Mat, 4, pp.11~19 (1960)
  3. Y. He, "Recurrence formulae for Apostol-Bernoulli and Apostol-Euler polynomials", Adv. Difference Equ, 2012(209), pp.16~ (2012)
  4. S. Hyyro, "On the Catalan problem", (Finnish) Arkhimedes, 1963(1), pp.53~54 (1963)
  5. K. Inkeri, "On Catalan's problem", Acta Arith, 9, pp.285~290 (1964)
  6. D. S. Kim, "Identities of symmetry for Euler polynomials arising from quotients of fermionic integrals invariant under S3", J. Inequal. Appl, pp.16~ (2010)
  7. T. Kim, "Symmetry p-adic invariant integral on Zp for Bernoulli and Euler polynomials", J. Difference Equ. Appl, 14, pp.1267~1277 (2008)
  8. T. Kim, "Symmetry of power sum polynomials and multivariate fermionic p-adic invariant integral on Zp", Russ. J. Math. Phys, 1616(1), pp.93~96 (2009)
  9. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys, 9(3), pp.288~299 (2002)
  10. T. Kim, "On p-adic interpolating function for q-Euler numbers and its deriva-tives", J. Math. Anal. Appl, 339(1), pp.598~608 (2008)
  11. A. Natucci, "Ricerche sistematiche intorno al "teorema di Catalan"", (Italian)Giorn. Mat. Battaglini, 2(82), pp.297~300 (1954)
  12. H. Ozden, "Multivariate interpolation functions of higher-order q-Euler numbers and their applications", Abstract and Applied Analysis (2008)
  13. H. Ozden, "A new extension of q-Euler numbers and polynomials related to their interpolation functions", Applied Mathematics Letters, 21(9), pp.934~939 (2008)
  14. R. Rangarajan, "A pair of classical orthogonal polynomials connected to Catalan numbers", Advanced Studies in Contemporary Mathematics, 23(2), pp.321~336 (2013), 장전수학회
  15. A. Rotkiewicz, "Sur le probleme de Catalan", (French) Elem. Math, 15, pp.121~124 (1960)
  16. A. D. Sands, "On generalised Catalan numbers", Discrete Math, 21(2), pp.219~221 (1978)

관련 논문AI추천

REVISIT SYMMETRIC IDENTITIES FOR THE λ-CATALAN POLYNOMIALS UNDER THE SYMMETRY GROUP OF DEGREE n권혁인, 김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제4호TRIPLE SYMMETRIC IDENTITIES FOR w-CATALAN POLYNOMIALS김대산, 김태균대한수학회 · 대한수학회지2017 · 제54권 제4호A NOTE ON q-ANALOGUE OF CATALAN NUMBERS ARISING FROM FERMIONIC p-ADIC q-INTEGRAL ON Zp권종겸, 김대산, 김태균장전수학회 · Advanced Studies in Contemporary Mathematics2021 · 제31권 제3호A NOTE ON CATALAN NUMBERS ASSOCIATED WITH p-ADIC INTEGRAL ON Zp김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제3호Symmetry identities for Changhee polynomials arising from the fermionic p-adic integral on Zp김태균, 서종진, D. V. Dolgy장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제2호EXPLICIT EXPRESSIONS FOR CATALAN-DAEHEE NUMBERS김대산, 김태균, 장관우, Dmitry V. Dolgy장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제1호

이 간행물의 다른 논문 (13건)

EXTENSION OF CHARACTERS ON THE NORMAL SUBGROUP OF A SEMI-DIRECT PRODUCT GROUP TO ONE-DIMENSIONAL PSEUDOREPRESENTATIONS OF THE GROUPA. I. Shternpp. 451-455SOME IDENTITIES FOR DEGENERATE EULER NUMBERS AND POLYNOMIALS ARISING FROM DEGENERATE BELL POLYNOMIALS권혁인, 김태균, Dmitry V. Dolgy, 서종진pp. 457-464Navier-Stokes equations with anisotropic regularity in one velocity componentXiqin Ouyang, Xian Yang, Zujin Zhangpp. 465-476Weak solution for a class of the square growth nonlinear elliptic systems최규흥, 정택선pp. 477-484AN OPTIMAL NUMERICAL INTEGRATION METHOD OVER A LUNE BY USING AN EFFICIENT TRANSFORMATION TECHNIQUEK. V. NAGARAJA, SARADA JAYANpp. 485-492
원문 보기