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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=15/8





http://functions.wolfram.com/07.23.03.b6s7.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 15/8, 9/2, -z] == (256 (Sqrt[z] (-772560 - 4542009 z - 7532460 z^2 + 33041138 z^3 + 103422852 z^4 + 148990335 z^5 + 126462896 z^6 + 64886400 z^7 + 18720768 z^8 + 2342912 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] - (-1030080 - 6206232 z - 10892023 z^2 + 17575740 z^3 + 65294814 z^4 + 100202180 z^5 + 88467873 z^6 + 46713312 z^7 + 13784320 z^8 + 1757184 z^9) Sin[(3 ArcTan[Sqrt[z]])/4]))/ (4838528695 z^(7/2) (1 + z)^(3/8))








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