Path: Math/Analysis
% Computes the value of the hypergeometric function
F(alpha,1;gamma,x)
Examples are:
arctanh(x)/x = F(1/2,1;3/2; x^2) = HypgF1(1/2,3/2, x^2)
log(1+x) /x = F( 1,1; 2;-x ) = HypgF1( 1, 2, -x)
arctan(x) /x = F(1/2,1;3/2;-x^2) = HypgF1(1/2,3/2,-x^2)
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Form:
[F, n] = HypgF1( alpha, gamma, x )
[F, n] = HypgF1( alpha, gamma, x, tol )
[F, n] = HypgF1( alpha, gamma, x, tol, nMax )
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Inputs
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alpha Argument
gamma Argument
x Argument
tol Tolerance (default 1.e-8);
nMax Maximum number of iterations
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Outputs
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F Value of fraction
n Number of iterations
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References: Battin, R. H., An Introduction to the Mathematics and
Methods of Astrodynamics, AIAA, 1987, pp. 34-68.
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