Re: factorial doc bug?

From: Patrick Welche <prlw1(at)newn(dot)cam(dot)ac(dot)uk>
To: Peter Eisentraut <peter_e(at)gmx(dot)net>
Cc: Thomas Lockhart <lockhart(at)fourpalms(dot)org>, Tatsuo Ishii <t-ishii(at)sra(dot)co(dot)jp>, pgsql-hackers(at)postgresql(dot)org
Subject: Re: factorial doc bug?
Date: 2001-09-12 15:10:22
Message-ID: 20010912161022.L19454@quartz.newn.cam.ac.uk
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On Wed, Sep 12, 2001 at 02:45:10PM +0200, Peter Eisentraut wrote:
> Thomas Lockhart writes:
>
> > Keep in mind that he is a mathematician, and I'll guess that he won't
> > have much patience with folks who expect a result for a factorial of a
> > fractional number ;)
>
> Real mathematicians will be perfectly happy with a factorial for a
> fractional number, as long as it's properly and consistently defined. ;-)
>
> Seriously, there is a well-established definition of factorials of
> non-integral real numbers, but the current behaviour is probably the most
> intuitive for the vast majority of users.

I would be happy with with exp(lgamma(x+1)) as a synonym for x!
(So 4.3!=38.078 as far as I'm concerned :) )

Cheers,

Patrick

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