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A note on the generalisation of Hermite polynomials

✍ Scribed by Rajagopal, A. K.


Book ID
112981117
Publisher
Springer-Verlag
Year
1958
Tongue
English
Weight
187 KB
Volume
48
Category
Article
ISSN
0370-0089

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πŸ“œ SIMILAR VOLUMES


The asymptotics of the generalised Hermi
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The Hermite-Bell polynomials are defined by H r n (x) = (-) n exp(x r )(d/dx) n exp(-x r ) for n = 0, 1, 2, . . . and integer r β‰₯ 2 and generalise the classical Hermite polynomials corresponding to r = 2. We obtain an asymptotic expansion for H r n (x) as n β†’ ∞ using the method of steepest descents.

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