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A Determinant Expression of Tchebychev Polynomials

Published online by Cambridge University Press:  20 November 2018

A. Korsak  and
C. Schubert
A. Korsak
Affiliation:
University of Toronto
C. Schubert
Affiliation:
University of Toronto
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Extract

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A certain n x n determinant, namely that in (1), provides a rather simple expression for the Tchebychev polynomial Tn(x) = cos n(cos-1x). This determinant also leads to an interesting combinatorial interpretation of the coefficients in that polynomial.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 3 , Issue 3 , 01 September 1960 , pp. 243 - 246
Copyright
Copyright © Canadian Mathematical Society 1960

References

1. Aitken, A. C., Determinants and Matrices, (New York, 1944), §51.Google Scholar