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REVISIT SYMMETRIC IDENTITIES FOR THE λ-CATALAN POLYNOMIALS UNDER THE SYMMETRY GROUP OF DEGREE n

김태균|권혁인
장전수학회 (Jangjeon Mathematical Society)|2016.10|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제19권 제4호|pp. 711-716|DOI 10.17777/pjms.2016.19.4.012

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키워드

p-adic integralsymmetric identitiesCatalan numbers
주제분류수학

초록

Recently, the symmetric identities for the Catalan polynomials were studied in [7]. In this paper, we give new symmetric identities for the Catalan polynomials under Sn which are defived from the fermionic p-adic integral on Zp.

Abstract

Recently, the symmetric identities for the Catalan polynomials were studied in [7]. In this paper, we give new symmetric identities for the Catalan polynomials under Sn which are defived from the fermionic p-adic integral on Zp.

참고문헌 (12)

  1. G. Alvarez, "Action graphs and Catalan numbers", J. Integer Seq., 18(7), pp.7~ (2015)
  2. F. Ardila, "Catalan Numbers", Math. Intelligencer, 38(2), pp.4~5 (2016)
  3. D. S. Kim, "Some symmetric identities for the higher-order q-Euler polynomials related to symmetry group S3arising from p-adic q-fermionic integrals on Zp"
  4. 김대산, "Abundant symmetry for higher-order Bernoulli polynomials (I)", Advanced Studies in Contemporary Mathematics, 23(3), pp.459~479 (2013), 장전수학회
  5. 김대산, "Identities of symmetry for higher-order Euler polynomials in three variables (I)", Advanced Studies in Contemporary Mathematics, 22(1), pp.51~74 (2012), 장전수학회
  6. 김태균, "A NOTE ON CATALAN NUMBERS ASSOCIATED WITH p-ADIC INTEGRAL ON Zp", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 19(3), pp.493~501 (2016), 장전수학회
  7. 김태균, "SYMMETRIC IDENTITIES FOR AN ANALOGUE OF CATALAN POLYNOMIALS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 19(3), pp.515~521 (2016), 장전수학회
  8. T. Kim, "Symmetry of power sum polynomials and multivariate fermionic p-adic invariant integral on Zp,", Russ. J. Math. Phys., 16(1), pp.93~96 (2009)
  9. L. K. Pudwell, "Ascent sequences and the binomial convolution of Catalan numbers", Australas. J. Combin, 64, pp.21~43 (2016)
  10. S. Roman, "Compact Textbook in Mathematics", pp.2015, Birkhauser
  11. R. P. Stanley, "Catalan numbers", pp.viii~215 (2015), Cambridge University Press
  12. R. Tanniru, "A short note introducing grafting numbers and their connection to Catalan numbers", J. Combin. Math. Combin. Comput, 95, pp.309~321 (2015)

관련 논문AI추천

SYMMETRIC IDENTITIES FOR AN ANALOGUE OF CATALAN POLYNOMIALS김대산, 김태균, 서종진장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제3호TRIPLE SYMMETRIC IDENTITIES FOR w-CATALAN POLYNOMIALS김대산, 김태균대한수학회 · 대한수학회지2017 · 제54권 제4호Revisit symmetric identities higher-order degenerate q-Bernoulli polynomials under the symmetry group of degree 3권혁인, 김태균, 서종진장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 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 제3호EXPLICIT EXPRESSIONS FOR CATALAN-DAEHEE NUMBERS김대산, 김태균, 장관우, Dmitry V. Dolgy장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제1호SYMMETRIC IDENTITIES INVOLVING WEIGHTED q-GENOCCHI POLYNOMIALS UNDER S4M. Acikgoz, S. Araci, U. Duran장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제4호

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