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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=23/8





http://functions.wolfram.com/07.23.03.c69w.01









  


  








Input Form





Hypergeometric2F1[17/8, 23/8, -(9/2), z] == -((1/(64512 (1 - z)^(19/2))) (Sqrt[1 - z] (-64512 + 670208 z - 3282420 z^2 + 10437331 z^3 - 26927972 z^4 + 99943362 z^5 + 76324128 z^6 + 2217891 z^7) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (-16128 + 172592 z - 870823 z^2 + 2844767 z^3 - 7450550 z^4 + 470512542 z^5 + 169861773 z^6 + 2217891 z^7) 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