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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=-9/4, b>=a > For fixed z and a=-9/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[-(9/4), 21/4, -(1/2), -z] == -((Sqrt[z] (-221 (1 + Sqrt[1 + z]) + 64064 z^5 (-1 + 2 Sqrt[1 + z]) + 1232 z^4 (-189 + 352 Sqrt[1 + z]) + 56 z^3 (-5561 + 9472 Sqrt[1 + z]) + 21 z^2 (-8577 + 12944 Sqrt[1 + z]) + z (-37586 + 46647 Sqrt[1 + z])))/ (442 Sqrt[2] (1 + z)^(7/2) Sqrt[-1 + 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