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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=11/4





http://functions.wolfram.com/07.23.03.al43.01









  


  








Input Form





Hypergeometric2F1[9/4, 11/4, -(9/2), -z] == (Sqrt[z] (14421 z^7 + z^5 (847918 - 485472 Sqrt[1 + z]) + 112 (1 + Sqrt[1 + z]) + 28 z (43 + 41 Sqrt[1 + z]) + 14 z^4 (3781 + 3203 Sqrt[1 + z]) + z^2 (6107 + 5547 Sqrt[1 + z]) + 3 z^3 (6691 + 5812 Sqrt[1 + z]) + z^6 (-420209 + 104947 Sqrt[1 + z])))/ (224 Sqrt[2] (1 + z)^(19/2) 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