논문KCI 등재
A 3 parameter family of symmetric generalized Riordan arrays
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
The symmetric Pascal matrix and the symmetric array of Delannoy numbers are typical examples of symmetric generalized Rior- dan arrays. This paper proves that all symmetric generalized Riordan arrays are parametrized by three parameters and factorized as the prod- uct of generalized Pascal triangles, and also are totally positive.
Abstract
The symmetric Pascal matrix and the symmetric array of Delannoy numbers are typical examples of symmetric generalized Rior- dan arrays. This paper proves that all symmetric generalized Riordan arrays are parametrized by three parameters and factorized as the prod- uct of generalized Pascal triangles, and also are totally positive.
참고문헌 (6)
- "Notes on generalized Riordan arrays"[URL]
- C. Banderier, "Why Delannoy numbers?", Journal of Statistical Planning and Inference, 135, pp.40~54 (2005)
- X. Chen, "Total positivity of Riordan arrays", European J. of Combinatorics, 46, pp.68~74 (2005)
- L.W. Shapiro, "The Riordan Group", Discrete Appl. Math, 34, pp.229~239 (1991)
- C. Z. Wang, "Total positivity of Cartan triangle", Discrete Math, 338, pp.566~568 (2015)
- M. C. Wilson, "Asymptotics for generalized Riordan array", International Conference on Analysis of Algorithms, Discrete Mathematics and Theoretical Computer Science France, pp.323~334 (2005)
관련 논문AI추천
The generalized Pascal matrix via the generalized Fibonacci matrix and the generalized Pell matrix이광연, 조성훈대한수학회 · 대한수학회지2008 · 제45권 제2호A characterization of the Riordan Bell subgroup by C-sequences진성태강원경기수학회 · 한국수학논문집2009 · 제17권 제2호Two Variants of the Reciprocal Super Catalan MatrixEmrah Kilic, Nese Omur, Sibel Koparal, Yucel Turker Ulutas경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제2호SOME IDENTITIES OBTAINED BY USING THE CONCEPT OF EXPONENTIAL RIORDAN MATRICES정지환영남수학회 · East Asian Mathematical Journal2023 · 제39권 제1호Some combinatorial identities via 7-matrices박진우장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제1호New Identities for Stirling Numbers Via Riordan Arrays설한국, 천기상, Moawwad E. A. El-Mikkawy한국수학교육학회 · 이론수학과 교직수학2006 · 제13권 제4호
이 간행물의 다른 논문 (12건)
Finite-dimensional finally precontinuous unitary pseudorepresentations of almost connected locally compact groupsA. I. Shternpp. 365-368Energy of partial complements of a graphPRADEEP G. BHAT, SWATI NAYAK, GOWTHAM H. J., SABITHA DSOUZApp. 369-380Nonlinear implicit fractional differential equation involving -Caputo fractional derivativeAHMED G. IBRAHIM, MOHAMMED S. ABDO, SATISH K. PANCHALpp. 387-400Reliability analysis of acyclic transmission network based on minimal cuts using copula in repairSoni Bisht, S.B Singhpp. 401-414A note on prime graph of a finite ringH. Mangala Gowramma, P. S. Hemavathi, R. RAJENDRA, P.Siva Kota Reddypp. 415-426