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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=17/4, b>=a > For fixed z and a=17/4, b=23/4





http://functions.wolfram.com/07.23.03.an90.01









  


  








Input Form





Hypergeometric2F1[17/4, 23/4, 2, z] == (8 ((3465 + 363292 z + 1065846 z^2 + 401820 z^3 + 585 z^4) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - (-1 + Sqrt[z]) (-3465 - 151927 z - 264165 z^2 - 40365 z^3 + 1170 z^4) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/(855855 Pi (-1 + Sqrt[z])^8 (1 + Sqrt[z])^(15/2) 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