본문 바로가기
KERD
논문KCI 등재

A characterization of the Riordan Bell subgroup by C-sequences

진성태
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2009.06|한국수학논문집 (Korean Journal of Mathematics)|제17권 제2호|pp. 147-154

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

Riordan matrixC-sequencesBell subgroup
주제분류수학

초록

In this paper, we consider a new sequence called by the C-sequence of the Riordan array. It allows us to find a simple proof for several combinatorial identities. Further, we prove that a C-sequence characterizes Bell subgroup of the Riordan group.

Abstract

In this paper, we consider a new sequence called by the C-sequence of the Riordan array. It allows us to find a simple proof for several combinatorial identities. Further, we prove that a C-sequence characterizes Bell subgroup of the Riordan group.

참고문헌 (4)

  1. G.-S. Cheon, "Riordan group involutions", Lin. Alg.Appl, 428, pp.941~952 (2008)
  2. D. G. Rogers, "Pascal triangles, Catalan numbers and renewal arrays", Discrete Math, 22, pp.301~310 (1978)
  3. L. W. Shapiro, "Bijections and the Riordan group", Theoretical Computer Science, 307, pp.403~413 (2003)
  4. L. W. Shapiro, "The Riordan group", Discrete Appl. Math, 34, pp.229~239 (1991)

관련 논문AI추천

A 3 parameter family of symmetric generalized Riordan arrays황석윤장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제3호A note on ordered Bell numbers and polynomials김태균장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제2호SOME IDENTITIES OBTAINED BY USING THE CONCEPT OF EXPONENTIAL RIORDAN MATRICES정지환영남수학회 · East Asian Mathematical Journal2023 · 제39권 제1호Sheffer sequences for the powers of Sheffer pairs under umbral composition김대산, C. S. Ryoo, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제2호A note on r-Whitney type central factorial numbers of the second kind김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제1호Some identities of ordered Bell numbers arising from differential equation김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제3호

이 간행물의 다른 논문 (9건)

Some applications and properties of generalized fractional calculus operators to a subclass of analytic and multivalent functionsMeena More, 이상근, S. M. Khairnarpp. 127-145A study on generalized quasi-class A operators김건호, 전인호pp. 155-159On the injectivity of the weak topos Fuz김익성pp. 161-167Nonbinary incidence codes of (n,n-1,j)-poset연룡하pp. 169-179Application of linking for an elliptic system남혜원pp. 181-188
원문 보기