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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.ae17.01









  


  








Input Form





Hypergeometric2F1[-(9/4), -(9/4), 5, z] == (1/(13461800625 Pi z^4)) (4096 (4 (-576 + 7464 z - 51225 z^2 + 308100 z^3 + 6924650 z^4 + 5385404 z^5 + 495239 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (-1152 + 14640 z - 98925 z^2 + 593100 z^3 + 7413850 z^4 + 4799468 z^5 + 348075 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] - 2 (-576 + 7464 z - 51225 z^2 + 308100 z^3 + 6924650 z^4 + 5385404 z^5 + 495239 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