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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=-23/8, b>=a > For fixed z and a=-23/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), 47/8, -(5/2), z] == -((1/(128960 (1 - z)^(11/2))) (Sqrt[1 - z] (-128960 - 222456 z - 668577 z^2 - 5878158 z^3 + 52582079 z^4 - 125408360 z^5 + 136879952 z^6 - 72110016 z^7 + 14927616 z^8) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (-32240 - 45539 z - 145483 z^2 - 22639529 z^3 + 102100031 z^4 - 185767560 z^5 + 171069008 z^6 - 79573824 z^7 + 14927616 z^8) Sin[ArcSin[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