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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=17/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 17/4, 5/2, z] == (1/(24035 z^(3/2))) (2 ((1 + Sqrt[z])^(5/2) (-34 + 85 Sqrt[z] - 1224 z + 8920 z^(3/2) - 880 z^2 - 57552 z^(5/2) + 66880 z^3 + 47168 z^(7/2) - 105600 z^4 + 42240 z^(9/2)) + (1 - Sqrt[z])^(5/2) (34 + 85 Sqrt[z] + 1224 z + 8920 z^(3/2) + 880 z^2 - 57552 z^(5/2) - 66880 z^3 + 47168 z^(7/2) + 105600 z^4 + 42240 z^(9/2))))








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