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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=11/4





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









  


  










Input Form





Hypergeometric2F1[-(9/4), 11/4, 4, z] == (1/(487305 Pi z^3)) (256 (2 (480 - 285 z - 510 z^2 + 5027 z^3 - 5920 z^4 + 2048 z^5) EllipticE[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (-480 + 165 z + 495 z^2 - 1112 z^3 + 512 z^4) EllipticK[(1/2) (1 - Sqrt[1 - z])] - (480 - 285 z - 510 z^2 + 5027 z^3 - 5920 z^4 + 2048 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