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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=-41/8, b>=a > For fixed z and a=-41/8, b=43/8





http://functions.wolfram.com/07.23.03.b9ix.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 43/8, -(21/4), z] == (-2987712 - 177840 z + 302328 z^2 + 1084653 z^3 + 3235890 z^4 + 13481013 z^5 + 231826980 z^6 - 960813568 z^7 + 1357571072 z^8 - 839188480 z^9 + 194248704 z^10 + (1/Sqrt[1 - z]) (-2987712 + 1316016 z + 764712 z^2 + 1142451 z^3 + 2783595 z^4 + 11797233 z^5 + 224668521 z^6 - 1359738512 z^7 + 2794398464 z^8 - 2757181440 z^9 + 1340145664 z^10 - 258998272 z^11))/ (2987712 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (-1 + z)^5)








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