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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=-9/4





http://functions.wolfram.com/07.23.03.ae11.01









  


  








Input Form





Hypergeometric2F1[-(9/4), -(9/4), 3, z] == (1/(2197845 Pi z^2)) (64 (8 (-45 + 810 z + 38636 z^2 + 49838 z^3 + 6857 z^4) EllipticE[(1/2) (1 - Sqrt[1 - z])] - 4 (-45 + 810 z + 38636 z^2 + 49838 z^3 + 6857 z^4) EllipticK[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (-180 + 3195 z + 86639 z^2 + 92593 z^3 + 9945 z^4) 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