More on evaluating determinants

Authors

  • A. R. Moghaddamfar Research Institute for Fundamental Sciences, Tabriz, Iran Author
  • S. M. H. Pooya Department of Mathematics, K. N. Toosi University of Technology, P.O.Box 16315-1618, Tehran, Iran Author
  • S. Navid Salehy Department of Mathematics, K. N. Toosi University of Technology, P.O.Box 16315-1618, Tehran, Iran Author
  • S. Nima Salehy Department of Mathematics, K. N. Toosi University of Technology, P.O.Box 16315-1618, Tehran, Iran Author

Keywords:

Determinant, matrix factorization, recursive relation, generalized Pascal triangle

Subjects:

15B36, 15A15, 11C20

Abstract

This article provides a general technique for findingclosed formulas for the determinants of families of matrices whoseentries satisfy a three-term recurrence relation. The majorpurpose of this article is to generalize several publishedresults about evaluating determinants. We also present new proofsfor some known results due to Ch. Krattenthaler.

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Published

2012-07-15

Issue

Vol. 64 No. 3 (2012): Vol. 64, Issue 3

Section

Articles

License

Copyright (c) 2012 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.