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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=43/8





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









  


  








Input Form





Hypergeometric2F1[-(25/8), 43/8, 11/2, -z] == -((1024 (Sqrt[z] (38080 - 71400 z + 177905 z^2 - 642090 z^3 - 21826771 z^4 - 24971872 z^5 + 38593280 z^6 + 70873088 z^7 + 28114944 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] - (21760 - 55760 z + 130645 z^2 - 438770 z^3 + 3563625 z^4 + 69596848 z^5 + 173948544 z^6 + 157853696 z^7 + 49201152 z^8) Sin[(7 ArcTan[Sqrt[z]])/4]))/ (28275892359 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