HypgFr:

Path: Math/Analysis

% Computes the value of the ratio of hypergeometric functions

   F(alpha,beta+1;gamma+1,x)
   -------------------------
     F(alpha,beta;gamma,x)

   HypgFr(alpha,0,gamma,x) = HypgF1(alpha,gamma+1,x)

   Since version 1.
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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
   ------
   alpha                 Argument
   beta                  Argument
   gamma                 Argument
   x                     Argument
   tol                   Tolerance
   nMax                  Maximum number of iterations

   -------
   Outputs
   -------
   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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