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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=15/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 15/8, 11/2, -z] == (1024 (Sqrt[z] (-206016 - 1399192 z - 3653565 z^2 - 3515148 z^3 + 9090250 z^4 + 19558812 z^5 + 19028427 z^6 + 10465568 z^7 + 3149568 z^8 + 405504 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] - (-274688 - 1905648 z - 5134305 z^2 - 5339248 z^3 + 5272722 z^4 + 12955020 z^5 + 13247143 z^6 + 7521324 z^7 + 2317824 z^8 + 304128 z^9) Sin[(3 ArcTan[Sqrt[z]])/4]))/(4838528695 z^(9/2) (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