DOI QR코드

DOI QR Code

ZERO COMMUTING MATRIX WITH PASCAL MATRIX

  • Choi, Eunmi (Department of Mathematics Hannam University)
  • 투고 : 2020.05.12
  • 심사 : 2020.08.20
  • 발행 : 2020.11.15

초록

In this work we study 0-commuting matrix C(0) under relationships with the Pascal matrix C(1). Like kth power C(1)k is an arithmetic matrix of (kx+y)n with yx = xy (k ≥ 1), we express C(0)k as an arithmetic matrix of certain polynomial with yx = 0.

키워드

참고문헌

  1. H. Cohn, Projective geometry over F1 and the gaussian binomial coefficients, Amer. Math. Monthly, 111 (2004), 487 - 495. https://doi.org/10.1080/00029890.2004.11920103
  2. Hans Cuypers, Discrete Mathematics, https://www.coursehero.com/file/14299872/notes/ (2007), 1-74
  3. A. Edelman and G. Strang, Pascal matrices, Amer. Math. Monthely, 111 (2004), 361 - 385.
  4. M.E. Horn, Pascal Pyramids, Pascal Hyper-Pyramids and a Bilateral Multinomial Theorem, arXiv:math/0311035v1 (math.GM), 4 (2003).
  5. M.E. Horn, Pauli Pascal Pyramids, Pauli Fibonacci Numbers, and Pauli Jacobsthal Numbers, arXiv:0711.4030v1 (math.GM), 26 (2007).
  6. J. Jo, Y. Oh, and E. Choi, Arithmetic matrix of quadratic polynomial with negative exponent by Pascal matrix, J. of Algebra and Applied Mathematics, 17 (2019), 67-90.
  7. T.H. Koornwinder, Special functions and q-commuting variables, in: Special Functions, q-Series and Related Topics, M.E.H. Ismail, D.R. Masson, M. Rahman (eds.), Fields Institute Communications 14, AMS (1997), 131 -166.