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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=-17/8, b>=a > For fixed z and a=-17/8, b=43/8





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









  


  








Input Form





Hypergeometric2F1[-(17/8), 43/8, 11/2, -z] == -((1024 (4 Sqrt[z] (1904 - 3094 z + 6545 z^2 - 19431 z^3 - 428444 z^4 - 92704 z^5 + 884224 z^6 + 585728 z^7) Cos[(7 ArcTan[Sqrt[z]])/4] - (4352 - 10064 z + 20009 z^2 - 55046 z^3 + 345321 z^4 + 5368160 z^5 + 9008384 z^6 + 4100096 z^7) Sin[(7 ArcTan[Sqrt[z]])/4]))/ (2317696095 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