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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=-37/8, b>=a > For fixed z and a=-37/8, b=-11/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), -(11/8), 9/2, z] == (1/(38666050605 z^(7/2))) (256 ((-Sqrt[z]) (51504 - 812261 z + 7451985 z^2 - 238678962 z^3 - 600775814 z^4 - 191506809 z^5 + 9015885 z^6 - 867008 z^7 + 51336 z^8) Cos[(3 ArcSin[Sqrt[z]])/4] - (1/Sqrt[1 - z]) (4 (-17168 + 285418 z - 2714690 z^2 + 31326235 z^3 + 90074839 z^4 - 72127646 z^5 - 48977396 z^6 + 2360743 z^7 - 223169 z^8 + 12834 z^9) 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