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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=41/8





http://functions.wolfram.com/07.23.03.c0da.01









  


  








Input Form





Hypergeometric2F1[5/8, 41/8, -(15/4), z] == (-44880 + 445060 z - 2056745 z^2 + 6139380 z^3 - 16360630 z^4 - 3533544 z^5 + 1152711 z^6 - 250344 z^7 + 25536 z^8 + (1/Sqrt[1 - z]) (-44880 + 467500 z - 2273665 z^2 + 7114925 z^3 - 19199290 z^4 - 56902986 z^5 + 17226027 z^6 - 5290911 z^7 + 1071600 z^8 - 102144 z^9))/(44880 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (-1 + 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