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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=-27/8





http://functions.wolfram.com/07.23.03.b4ri.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(27/8), 21/4, z] == (1/(38156583968475 z^5)) (16 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (6970288 - 166884780 z + 2255055723 z^2 - 27518127337 z^3 + 898316140155 z^4 + 5719419606075 z^5 + 8102308997765 z^6 + 3346802004069 z^7 + 327878466009 z^8 - 1647779275 z^9 + 41628108 z^10 + (1/Sqrt[1 - z]) (-6970288 + 170369924 z - 2337626827 z^2 + 28625230244 z^3 - 911803479880 z^4 - 4081173440260 z^5 - 1001154993990 z^6 + 4082342506524 z^7 + 1787897410752 z^8 + 99629938480 z^9 - 2244448823 z^10 + 55504144 z^11)))










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