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On Some Polynomials Of Touchard

Published online by Cambridge University Press:  20 November 2018

Max Wyman  and
Leo Moser
Max Wyman
Affiliation:
University of Alberta
Leo Moser
Affiliation:
University of Alberta
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Extract

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In the preceding paper Touchard considers a set of polynomials Qn(x) defined by

1.

Touchard uses (1) to compute Qn(x) for 0 ≤ n ≤ 9 and also finds Qn(-½).

He remarks however “l'expression générale des polynômes Qn(x) nous echappe.”

The object of this note is to derive an explicit expression for Qn(x).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 8 , 1956 , pp. 321 - 322
Copyright
Copyright © Canadian Mathematical Society 1956