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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=9/4





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









  


  










Input Form





Hypergeometric2F1[-(17/4), 9/4, -(5/2), -z] == -((1/(40 Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z/(2 + 2 z)] (-20 (1 + Sqrt[1 + z]) + 7392 z^4 (-1 + 2 Sqrt[1 + z]) - 14 z^2 (17 + 20 Sqrt[1 + z]) + 336 z^3 (-21 + 31 Sqrt[1 + z]) + z (69 + 79 Sqrt[1 + z]))))










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