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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=1/4, b>=a > For fixed z and a=1/4, b=19/4





http://functions.wolfram.com/07.23.03.aig8.01









  


  










Input Form





Hypergeometric2F1[1/4, 19/4, 5/2, z] == (2 ((-6 + 15 Sqrt[z] - 60 z + 220 z^(3/2) - 280 z^2 + 112 z^(5/2))/ (1 - Sqrt[z])^(5/2) + (6 + 15 Sqrt[z] + 60 z + 220 z^(3/2) + 280 z^2 + 112 z^(5/2))/(1 + Sqrt[z])^(5/2)))/(385 z^(3/2))










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