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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=5/4





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









  


  










Input Form





Hypergeometric2F1[-(17/4), 5/4, 3, z] == (1/(1044225 Pi Sqrt[1 + Sqrt[z]] z^2)) (64 (2 (1326 + 1326 Sqrt[z] - 5967 z - 5967 z^(3/2) + 32775 z^2 + 32775 z^(5/2) - 51065 z^3 - 51065 z^(7/2) + 41475 z^4 + 41475 z^(9/2) - 17472 z^5 - 17472 z^(11/2) + 3024 z^6 + 3024 z^(13/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - (2652 - 12597 z + 35715 z^2 - 53875 z^3 + 42805 z^4 - 17724 z^5 + 3024 z^6) EllipticK[(2 Sqrt[z])/(1 + Sqrt[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