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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=3/4, b>=a > For fixed z and a=3/4, b=21/4





http://functions.wolfram.com/07.23.03.aj9c.01









  


  








Input Form





Hypergeometric2F1[3/4, 21/4, 5, z] == (1/(1939275 Pi Sqrt[1 + Sqrt[z]] z^4)) (4096 (-(((-384 - 208 z - 203 z^2 - 300 z^3 + 1680 z^4) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])])/(-1 + Sqrt[z])) + 4 (96 + 124 z + 155 z^2 + 210 z^3) EllipticK[(2 Sqrt[z])/(1 + Sqrt[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