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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.aeng.01









  


  










Input Form





Hypergeometric2F1[-(9/4), 21/4, -(1/2), z] == (1/884) ((1/(1 + Sqrt[z])^(7/2)) (442 + 1547 Sqrt[z] + 12376 z + 79576 z^(3/2) + 111440 z^2 - 163856 z^(5/2) - 527296 z^3 - 448448 z^(7/2) - 128128 z^4) + (1/(1 - Sqrt[z])^(7/2)) (442 - 1547 Sqrt[z] + 12376 z - 79576 z^(3/2) + 111440 z^2 + 163856 z^(5/2) - 527296 z^3 + 448448 z^(7/2) - 128128 z^4))










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