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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=-17/4, b>=a > For fixed z and a=-17/4, b=-9/4





http://functions.wolfram.com/07.23.03.aac0.01









  


  








Input Form





Hypergeometric2F1[-(17/4), -(9/4), 5, z] == (1/(19431286875 Pi z^4)) (4096 (-8 (96 - 1644 z + 15600 z^2 - 138075 z^3 - 5314775 z^4 - 8129234 z^5 - 2144294 z^6 - 18375 z^7 + 525 z^8) EllipticE[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (-384 + 6480 z - 60825 z^2 + 537825 z^3 + 11898950 z^4 + 15625906 z^5 + 3451875 z^6 + 525 z^7) EllipticK[(1/2) (1 - Sqrt[1 - z])] + 4 (96 - 1644 z + 15600 z^2 - 138075 z^3 - 5314775 z^4 - 8129234 z^5 - 2144294 z^6 - 18375 z^7 + 525 z^8) 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