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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=21/4





http://functions.wolfram.com/07.23.03.agc1.01









  


  








Input Form





Hypergeometric2F1[-(5/4), 21/4, 3/2, z] == (1/(663 Sqrt[z])) ((-55 + 194 Sqrt[z] + 1640 z + 1440 z^(3/2) - 3120 z^2 - 5280 z^(5/2) - 2112 z^3)/(1 + Sqrt[z])^(5/2) + (55 + 194 Sqrt[z] - 1640 z + 1440 z^(3/2) + 3120 z^2 - 5280 z^(5/2) + 2112 z^3)/(1 - Sqrt[z])^(5/2))








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