Continued fractions and special functions.

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Article #189

#189

From: David Drumheller
Date: Mon, 06 Apr 1992 12:56

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    During the course of my research in the application of order
statistics to detection theory, I found it necessary to compute
the incomplete gamma function.  I used a routine from Numerical
Recipes in C (by Press et al) which is based on a continued fraction
expansion.  None the of references in the book contain a derivation
of this expansion.
    
    Question: does anybody know of a reference that gives a
explanation/derivation of the continued fraction expansion of the
incomplete gamma function or any other special functions?

    More generally, does anybody know of a good reference on
continued fractions?

    Please e-mail responses to me directly.  Thank you!
    
Dave Drumheller
Naval Research Laboratory
Acoustics Division, Code 5160
Washington, D.C.  20375
USA
(202) 767-3524
e-mail address: drumhell@n5160a.nrl.navy.mil

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Path: arc1-ca.pugleaf.net!sparky!uunet!dtix!mimsy!ra!drumhell
From: drumhell@n5160a.nrl.navy.mil (David Drumheller)
Newsgroups: sci.math.stat
Subject: Continued fractions and special functions.
Keywords: continued fractions, special functions
Message-ID: <1894@ra.nrl.navy.mil>
Date: 6 Apr 92 12:56:09 GMT
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