Some formulas of L. Carlitz on Hermite polynomials

We have used the idea of ‘quasi inner product’ introduced by L. R. Bragg in 1986 to consider generating series ∑n=0∞Hn2(x)Hn2(y)tn22n(n!)2 studied by L. Carlitz in 1963. The pecularity of the series is that there is (n!)2 in the denominator, which has a striking deviation from the usuaI generating s...

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Bibliographic Details
Main Authors: S. K. Chatterjea, S. M. Eaqub Ali
Format: Article
Language:English
Published: Wiley 1991-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171291000996
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