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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=-47/8, b>=a > For fixed z and a=-47/8, b=7/8





http://functions.wolfram.com/07.23.03.b54u.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 7/8, 9/2, z] == (1/(81531277245 z^(7/2))) (256 (Sqrt[z] (-536176 + 5194205 z - 23156101 z^2 + 388662618 z^3 - 451691578 z^4 + 387630929 z^5 - 230328945 z^6 + 89897192 z^7 - 20762896 z^8 + 2153536 z^9) Cos[ArcSin[Sqrt[z]]/4] + (1/Sqrt[1 - z]) ((2144704 - 22251304 z + 106732535 z^2 - 342784019 z^3 + 577462062 z^4 - 621582334 z^5 + 492771811 z^6 - 272816775 z^7 + 100009448 z^8 - 21839664 z^9 + 2153536 z^10) 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