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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 4 and fixed z > For fixed z and a=-17/4, b>=a > For fixed z and a=-17/4, b=21/4





http://functions.wolfram.com/07.23.03.aaxx.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 21/4, 7/2, z] == (1/(43263 z^(5/2))) (4 ((1 + Sqrt[z])^(5/2) (-4 + 10 Sqrt[z] - 67 z + 150 z^(3/2) - 1320 z^2 + 8448 z^(5/2) - 2640 z^3 - 43296 z^(7/2) + 52800 z^4 + 28160 z^(9/2) - 70400 z^5 + 28160 z^(11/2)) + (1 - Sqrt[z])^(5/2) (4 + 10 Sqrt[z] + 67 z + 150 z^(3/2) + 1320 z^2 + 8448 z^(5/2) + 2640 z^3 - 43296 z^(7/2) - 52800 z^4 + 28160 z^(9/2) + 70400 z^5 + 28160 z^(11/2))))








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02