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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=19/4





http://functions.wolfram.com/07.23.03.aaw2.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 19/4, 3, z] == (1/(57432375 Pi z^2)) (64 (2 (-2652 - 45747 z + 3058275 z^2 - 16476800 z^3 + 32409600 z^4 - 27328512 z^5 + 8388608 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] + 2 Sqrt[1 - z] (1326 + 23205 z - 625800 z^2 + 2214400 z^3 - 2662400 z^4 + 1048576 z^5) EllipticK[(1/2) (1 - Sqrt[1 - z])] - (-2652 - 45747 z + 3058275 z^2 - 16476800 z^3 + 32409600 z^4 - 27328512 z^5 + 8388608 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