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Mar 10, 2016 at 10:58 comment added F. C. I am now more skeptical about this proposal, because in my examples, the oscillations are slower in the middle, whereas they are faster in the middle for $H_n(x)exp(-x^2)$.
Feb 25, 2014 at 11:21 comment added F. C. This looks like a possible answer indeed. Sometimes I also see odd functions instead of even ones. They resemble to $H_{odd}(x) \exp(-x)$.
Feb 24, 2014 at 22:50 history answered Gerald Edgar CC BY-SA 3.0