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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=-33/8, b>=a > For fixed z and a=-33/8, b=27/8





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









  


  








Input Form





Hypergeometric2F1[-(33/8), 27/8, -(11/2), -z] == (1/(77824 (1 + z)^(31/8))) ((77824 - 14592 z - 80864 z^2 + 97603 z^3 - 82137 z^4 + 23408 z^5 + 221312 z^6 - 178176 z^7 - 212992 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (136192 + 68096 z - 100548 z^2 + 100111 z^3 - 70433 z^4 - 12768 z^5 + 568064 z^6 + 372736 z^7) Sin[(7 ArcTan[Sqrt[z]])/4])








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