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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.aaoc.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 9/4, 6, z] == (1/(316341350325 Pi z^5)) (16384 Sqrt[1 + Sqrt[z]] ((1357824 - 8380320 z + 19297941 z^2 - 15723708 z^3 - 9291282 z^4 + 77917532 z^5 - 105327915 z^6 + 69893208 z^7 - 23983344 z^8 + 3415104 z^9) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (-1357824 + 1357824 Sqrt[z] + 7361952 z - 7361952 z^(3/2) - 13935597 z^2 + 13935597 z^(5/2) + 6075069 z^3 - 6075069 z^(7/2) + 12507495 z^4 - 12507495 z^(9/2) - 29674337 z^5 + 29674337 z^(11/2) + 25448346 z^6 - 25448346 z^(13/2) - 10426416 z^7 + 10426416 z^(15/2) + 1707552 z^8 - 1707552 z^(17/2)) 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