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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=5/4, b>=a > For fixed z and a=5/4, b=11/4





http://functions.wolfram.com/07.23.03.ajt0.01









  


  










Input Form





Hypergeometric2F1[5/4, 11/4, -(3/2), -z] == (Sqrt[z] (-22 z^4 + z^2 (1172 - 672 Sqrt[1 + z]) + 11 z^3 (-30 + Sqrt[1 + z]) + 6 (1 + Sqrt[1 + z]) + z (46 + 43 Sqrt[1 + z])))/(12 Sqrt[2] (1 + z)^(11/2) 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