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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=-5/4





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









  


  








Input Form





Hypergeometric2F1[-(5/4), -(5/4), 5, z] == (1/(969249645 Pi z^4)) (4096 (16 (-80 + 730 z - 3275 z^2 + 11495 z^3 + 111827 z^4 + 23447 z^5) EllipticE[(1/2) (1 - Sqrt[1 - z])] - 8 (-80 + 730 z - 3275 z^2 + 11495 z^3 + 111827 z^4 + 23447 z^5) EllipticK[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (-640 + 5680 z - 24855 z^2 + 86365 z^3 + 440411 z^4 + 69615 z^5) EllipticK[(1/2) (1 - Sqrt[1 - 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