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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 8 and fixed z and a<0 > For fixed z and a=-45/8, b>=a > For fixed z and a=-45/8, b=45/8





http://functions.wolfram.com/07.23.03.b7ae.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 45/8, 9/2, z] == (1/(4838528695 z^(7/2))) (256 (Sqrt[z] (2160 + 16911 z + 143082 z^2 + 21689671 z^3 - 181608552 z^4 + 585449400 z^5 - 964490240 z^6 + 868158720 z^7 - 407869440 z^8 + 78510080 z^9) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) (4 (-720 - 5022 z - 42855 z^2 - 888783 z^3 + 18805893 z^4 - 98561563 z^5 + 245399930 z^6 - 338123200 z^7 + 265569920 z^8 - 111781120 z^9 + 19627520 z^10) Sin[(3 ArcSin[Sqrt[z]])/4])))








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