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Some Properties of the q-Hermite Polynomials

Published online by Cambridge University Press:  20 November 2018

WM. R. Allaway
WM. R. Allaway*
Affiliation:
Lakehead University, Thunder Bay, Ontario
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Heine [7, p. 93] gave the following representation for the Legendre Polynomial {Pn(x)}∞n=o

where fo,n = 1 and

Szegö [7, p. 96] generalized this result to the Ultraspherical Polynomial set ﹛Cnλ(x)﹜∞n=o and obtained

where

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 32 , Issue 3 , 01 June 1980 , pp. 686 - 694
Copyright
Copyright © Canadian Mathematical Society 1980

References

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