Re: Hermite Polynomials of fractional order
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- Subject: [mg132121] Re: Hermite Polynomials of fractional order
- From: enrico.bibbona at gmail.com
- Date: Sat, 14 Dec 2013 04:03:59 -0500 (EST)
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On Tuesday, August 13, 1996 9:00:00 AM UTC+2, Vijay Fafat wrote: > Mathematica gives values for hermite polynomials even when the order > of the polynomial is a real number. For e.g. HermiteH(0.3,0.4) gives 1.059. > I haven't been able to find what the meaning of fractional Hermite > polynomials in Abramovitz. I have also tried inputing the Hermite > differential equation, both with integer order and with fractional > orders but Mathematica doesn't recognize it as a standard differential > eqn as it does the Bessel equation. Anyone know more about this? > (Mathematica does the same for Legendre polynomials) > > vijay you can look at Lebedev "Special function and their applications" Dover section 10.2 page 283 and following Cheers, Enrico