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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=1/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 1/4, -(5/2), z] == (1/240) (Sqrt[1 - Sqrt[z]] (120 + 60 Sqrt[z] + 96 z + 63 z^(3/2) + 121 z^2 + 80 z^(5/2) + 300 z^3 - 280 z^(7/2) - 560 z^4) + Sqrt[1 + Sqrt[z]] (120 - 60 Sqrt[z] + 96 z - 63 z^(3/2) + 121 z^2 - 80 z^(5/2) + 300 z^3 + 280 z^(7/2) - 560 z^4))








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