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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=23/4





http://functions.wolfram.com/07.23.03.ak57.01









  


  










Input Form





Hypergeometric2F1[5/4, 23/4, -(1/2), -z] == (Sqrt[z] (-112 z^6 + z (33552 - 24565 Sqrt[1 + z]) + 209 (1 + Sqrt[1 + z]) + z^5 (-964 + 56 Sqrt[1 + z]) + 5 z^4 (-771 + 88 Sqrt[1 + z]) + 7 z^2 (-4102 + 557 Sqrt[1 + z]) + z^3 (-10148 + 1601 Sqrt[1 + z])))/ (418 Sqrt[2] (1 + z)^(15/2) 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