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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=-23/4, b>=a > For fixed z and a=-23/4, b=11/4





http://functions.wolfram.com/07.23.03.9770.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 11/4, -(1/2), z] == (1/68) ((1 + Sqrt[z])^(5/2) (34 - 85 Sqrt[z] + 1224 z - 8920 z^(3/2) + 880 z^2 + 57552 z^(5/2) - 66880 z^3 - 47168 z^(7/2) + 105600 z^4 - 42240 z^(9/2)) + (1 - Sqrt[z])^(5/2) (34 + 85 Sqrt[z] + 1224 z + 8920 z^(3/2) + 880 z^2 - 57552 z^(5/2) - 66880 z^3 + 47168 z^(7/2) + 105600 z^4 + 42240 z^(9/2)))










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