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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=-7/4, b>=a > For fixed z and a=-7/4, b=23/4





http://functions.wolfram.com/07.23.03.afh7.01









  


  








Input Form





Hypergeometric2F1[-(7/4), 23/4, 1, z] == (2 ((-25513 + 199553 z - 462024 z^2 + 425040 z^3 - 137280 z^4) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + 8 (-1 + Sqrt[z]) (-446 - 11051 z + 57690 z^2 - 80520 z^3 + 34320 z^4) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/(21945 Pi (-1 + Sqrt[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