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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=-41/8, b>=a > For fixed z and a=-41/8, b=3/8





http://functions.wolfram.com/07.23.03.b8zb.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 3/8, 7/2, -z] == -((64 (2 Sqrt[z] (-94710 - 1026025 z - 15055334 z^2 + 4133034 z^3 + 2533890 z^4 + 1850039 z^5 + 910290 z^6 + 258944 z^7 + 32256 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] - (-108240 - 1098185 z - 7948875 z^2 + 35679694 z^3 + 14958930 z^4 + 9086091 z^5 + 3857609 z^6 + 983920 z^7 + 112896 z^8) Sin[(7 ArcTan[Sqrt[z]])/4]))/ (947039457 z^(5/2) (1 + z)^(7/8)))








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