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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=5/8, b>=a > For fixed z and a=5/8, b=25/8





http://functions.wolfram.com/07.23.03.c02s.01









  


  








Input Form





Hypergeometric2F1[5/8, 25/8, -(19/4), z] == (2 (5168 - 43792 z + 166209 z^2 - 376550 z^3 + 588438 z^4 - 825384 z^5 - 51471 z^6 + 4902 z^7) + (1/Sqrt[1 - z]) (10336 - 92752 z + 374918 z^2 - 909007 z^3 + 1516944 z^4 - 2162706 z^5 - 3397086 z^6 + 438729 z^7 - 39216 z^8))/(10336 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (-1 + z)^8)








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