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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=-25/8, b>=a > For fixed z and a=-25/8, b=3/8





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









  


  








Input Form





Hypergeometric2F1[-(25/8), 3/8, 11/2, -z] == -((1024 (2 Sqrt[z] (-1568 - 14140 z - 58779 z^2 - 156744 z^3 - 650018 z^4 + 168432 z^5 + 40645 z^6 + 9372 z^7 + 1056 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] + (1792 + 14928 z + 56143 z^2 + 133629 z^3 + 345630 z^4 - 1230910 z^5 - 166397 z^6 - 35343 z^7 - 3696 z^8) Sin[(7 ArcTan[Sqrt[z]])/4]))/(496068287 z^(9/2) (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