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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=-37/8





http://functions.wolfram.com/07.23.03.b8nc.01









  


  








Input Form





Hypergeometric2F1[-(41/8), -(37/8), -(21/4), z] == (891072 - 4190160 z + 7784712 z^2 - 7093413 z^3 + 3121250 z^4 - 504501 z^5 + (1/Sqrt[1 - z]) (891072 - 4635696 z + 9768408 z^2 - 10517691 z^3 + 5921945 z^4 - 1525681 z^5 + 97643 z^6))/ (891072 2^(1/4) (1 + Sqrt[1 - z])^(3/4))








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