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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=-37/8, b>=a > For fixed z and a=-37/8, b=15/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 15/8, 19/4, z] == (1/(494128953 z^4)) (8 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (-4 (-306878 + 1771523 z - 3333811 z^2 - 976430 z^3 + 3181792 z^4 - 3867845 z^5 + 2520385 z^6 - 872640 z^7 + 126720 z^8) + (1/Sqrt[1 - z]) (-1227512 + 7699848 z - 16724851 z^2 + 1952860 z^3 + 46835062 z^4 - 90649772 z^5 + 88544605 z^6 - 49758880 z^7 + 15356160 z^8 - 2027520 z^9)))








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