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Add Lambert solver example of hypergeometric function authored by Liam M. Healy's avatar Liam M. Healy
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...@@ -4,7 +4,7 @@ Special Functions ...@@ -4,7 +4,7 @@ Special Functions
Hypergeometric functions Hypergeometric functions
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The hypergeometric function 2F1 is used in [Battin's](http://www.worldcat.org/oclc/839826772) method solving the Lambert problem, the two-point boundary value problem for orbital motion. The derivative (see [Wolfram](http://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/20/01/05/)) is helpful when solving using Newton's method. The hypergeometric function 2F1 is used in [Battin's](http://www.worldcat.org/oclc/839826772) method solving the Lambert problem, the two-point boundary value problem for orbital motion. The derivative with respect to the final argument (see [Wolfram](http://functions.wolfram.com/HypergeometricFunctions/Hypergeometric2F1/20/01/05/)) is helpful when solving using Newton's method.
(defun hypergeometric-and-derivative (z) (defun hypergeometric-and-derivative (z)
"The hypergeometric function F(3,1;5/2;z), (7.47), and its derivative dF/dz (7.49)." "The hypergeometric function F(3,1;5/2;z), (7.47), and its derivative dF/dz (7.49)."
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