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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=-45/8, b>=a > For fixed z and a=-45/8, b=15/8





http://functions.wolfram.com/07.23.03.b6s8.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 15/8, 19/4, z] == (1/(823548255 z^4)) (8 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (1227512 - 7923032 z + 16892239 z^2 + 5858580 z^3 - 23229902 z^4 + 35419564 z^5 - 30830209 z^6 + 16031648 z^7 - 4660480 z^8 + 585728 z^9 + (1/Sqrt[1 - z]) (4 (-306878 + 2134197 z - 5175079 z^2 + 418470 z^3 + 19823812 z^4 - 45582223 z^5 + 55470289 z^6 - 41492828 z^7 + 19187680 z^8 - 5063168 z^9 + 585728 z^10))))








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