Newsgroups: alt.fractals.pictures
Path: csus.edu!wuarchive!zaphod.mps.ohio-state.edu!think.com!mintaka!bloom-picayune.mit.edu!athena.mit.edu!lward
From: lward@athena.mit.edu (Laurence O Ward)
Subject: gamma function
Message-ID: <1991Mar19.075622.9709@athena.mit.edu>
Sender: news@athena.mit.edu (News system)
Organization: Massachusetts Institute of Technology
Date: Tue, 19 Mar 91 07:56:22 GMT
Lines: 22


here are the fractint formulas for Sterling's approximation to the gamma function.
i got them off of the FRAC-L mailing list. this past weekend i decided to plot
them. so here (pictures follow):

Sterling(XAXIS) = {
   z = Pixel:  z = ((z/2.7182818)^z)/sqr(6.2831853*z), |z| <= 4
}

Sterling2(XAXIS) = {
   z = Pixel:  z = ((z/2.7182818)^z)/sqr(6.2831853*z) + pixel, |z| <= 4
}

Sterling3(XAXIS) = {
    z = Pixel: z = ((z/2.7182818)^z)/sqr(6.2831853*z) - pixel, |z| <= 4
}





					-larry