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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=-33/8





http://functions.wolfram.com/07.23.03.b4pr.01









  


  








Input Form





Hypergeometric2F1[-(47/8), -(33/8), 9/2, z] == (1/(100831634418681 z^(7/2))) (256 ((-Sqrt[z]) (536176 - 15247505 z + 281190801 z^2 - 401672214299 z^3 - 2225677607851 z^4 - 3186315537761 z^5 - 1410084342669 z^6 - 165304297113 z^7 - 1529832969 z^8 + 20814054 z^9) Cos[ArcSin[Sqrt[z]]/4] + (1/Sqrt[1 - z]) (2 (1072352 - 31232252 z + 583258955 z^2 - 15981462922 z^3 - 173713339262 z^4 - 227774862234 z^5 + 157286944264 z^6 + 217184101602 z^7 + 41685806526 z^8 + 770119998 z^9 - 10407027 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