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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=-19/4, b>=a > For fixed z and a=-19/4, b=9/4





http://functions.wolfram.com/07.23.03.a9jw.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 9/4, 3, z] == (1/(4542615 Pi z^2)) (64 (2 Sqrt[1 - z] (-5852 - 13167 z + 206478 z^2 - 524339 z^3 + 586368 z^4 - 313344 z^5 + 65536 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] - 2 (-2926 - 4389 z + 37404 z^2 - 81745 z^3 + 83256 z^4 - 41472 z^5 + 8192 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (-5852 - 13167 z + 206478 z^2 - 524339 z^3 + 586368 z^4 - 313344 z^5 + 65536 z^6) 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