Generating Functions for Hermite Functions
- 1 January 1959
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 11, 141-147
- https://doi.org/10.4153/cjm-1959-018-4
Abstract
Hermite's function Hn(x) is denned for all complex values of x and n by where F (α; γ; x) is Kummer's function with the customary indices omitted. It satisfies the differential equation 1.1 of which is a second solution. Every solution of (1.1) is an entire function.Keywords
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