Hermite: Hermite Polynomials

In oczoske/slacR: R-package to measure v and sigma from VIMOS IFU cubes

Description

These functions give the Hermite polynomials of order 3 and 4 according to the (non-standard) definition of van der Marel & Franx (1993).

Usage

H.3(x)
H.4(x)

Arguments

x	numeric vector

Details

The Hermite polynomials computed are

H_3(x) = \frac{1}{√{3}} (2 x^3 - 3 x)

H_4(x) = \frac{1}{sqrt{24}} (4 x^4 - 12 x^2 + 3 )

Author(s)

Oliver Czoske

References

van der Marel, R. P., Franx, M., Astroph. Journ. 407, 525 (1993)

See Also

gauss.hermite

Examples

x <- seq(-3, 3, by=0.1)
h3 <- H.3(x)
h4 <- H.4(x)
plot(x, h3, type='l', ylim=range(c(h3, h4)))
lines(x, h4)

oczoske/slacR documentation built on May 20, 2019, 8:23 p.m.