MathGroup Archive: March 2008 [00306]

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A question regarding a hyperbolic geometric function

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Subject: [mg86396] A question regarding a hyperbolic geometric function
From: "Ali K. Ozdagli" <ozdagli at gmail.com>
Date: Mon, 10 Mar 2008 02:04:45 -0500 (EST)

Hi,

I am working with Mathematica in order to solve an ordinary
differential equation with several boundary conditions. It turned out
that the solution is Kummer confluent hypergeometric function,
HyperGeometric1F1[a,b,x]. My problem is that for the values of a, b
and x I am interested in, e.g. a=-26.9, b=-20.1, x=300000, the
numerical accuracy of Mathematica is very poor.

Can somebody suggest me a way to improve the mathematical accuracy of
HyperGeometric1F1? I prefer a quick and easy way but also appreciate
any hard way.

Best,

Ali

-- 

Ali K. Ozdagli
Ph.D. Student in Economics
at University of Chicago

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