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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=-9/4, b>=a > For fixed z and a=-9/4, b=1/4





http://functions.wolfram.com/07.23.03.ae7j.01









  


  








Input Form





Hypergeometric2F1[-(9/4), 1/4, 5, -z] == (1/(134008875 Pi z^4)) (4096 (1 + z)^(1/4) (2 (-384 - 2928 z - 10305 z^2 - 25095 z^3 + 55825 z^4 + 8547 z^5 + 924 z^6) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - 2 Sqrt[1 + z] (-192 - 1320 z - 4185 z^2 - 9555 z^3 + 1925 z^4 + 231 z^5) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (-384 - 2928 z - 10305 z^2 - 25095 z^3 + 55825 z^4 + 8547 z^5 + 924 z^6) EllipticK[1/2 - 1/(2 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