Path: Math/Analysis
% Computes the value of the ratio of hypergeometric functions
F(alpha,beta+1;gamma+1,x)
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F(alpha,beta;gamma,x)
HypgFr(alpha,0,gamma,x) = HypgF1(alpha,gamma+1,x)
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Form:
[F, n] = HypgFr( alpha, beta, gamma, x )
[F, n] = HypgFr( alpha, beta, gamma, x, tol )
[F, n] = HypgFr( alpha, beta, gamma, x, tol, nMax )
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Inputs
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alpha Argument
beta Argument
gamma Argument
x Argument
tol Tolerance
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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