East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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OBTUSE MATRIX OF ARITHMETIC TABLE

  • Eunmi Choi (Department of Mathematics, HanNam University)
  • Received : 2024.02.07
  • Accepted : 2024.05.21
  • Published : 2024.05.31
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Abstract

In the work we generate arithmetic matrix P(c,b,a) of (cx2 + bx+a)n from a Pascal matrix P(1,1). We extend an identity P(1,1))O(1,1) = P(1,1,1) with an obtuse matrix O(1,1) to k degree polynomials. For the purpose we study P(1,1)kO(1,1) and find generating polynomials of O(1,1)k.

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Acknowledgement

This work was supported by 2023 Hannam University Research Fund.

References

  1. L. Aceto, D. Trigiante, The matrices of pascal and other greats, Amer. Math. Monthly, 108 (2001) 232-245. https://doi.org/10.1080/00029890.2001.11919745
  2. E. Horowitz, S. Sahni, The computations of powers of symbolic polynomials, SIAM J. Comput., 4 (1975) 201-208. https://doi.org/10.1137/0204016
  3. J. Jo, Y. Oh, E. Choi, Arithmetic matrix of quadratic polynomial with negative exponent by Pascal matrix, J. of Alg. and Appl. Math., 17 (2019) 67-90.
  4. D. Loeb, A generalization of the binomial coefficients, Discrete Math., 105 (1992) 143-156. https://doi.org/10.1016/0012-365X(92)90138-6
  5. OEIS Foundation Inc. (2024) Entry A122888, https://oeis.org/A122888.
  6. C. Ponder, Parallel multiplication and powering of polynomials. J. Symbolic Computation, 11 (1991) 307-320. https://doi.org/10.1016/S0747-7171(08)80108-3