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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=-47/8, b>=a > For fixed z and a=-47/8, b=45/8





http://functions.wolfram.com/07.23.03.b5rr.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 45/8, 7/2, z] == (1/(800498592663 z^(5/2))) (32 ((1 + Sqrt[z])^(15/4) (1608528 - 6031980 Sqrt[z] + 42391415 z - 132703560 z^(3/2) + 1150097520 z^2 + 8755119296 z^(5/2) - 56983745280 z^3 + 47064145920 z^(7/2) + 192386416640 z^4 - 373831434240 z^(9/2) + 46227456000 z^5 + 388447600640 z^(11/2) - 345165004800 z^6 + 92044001280 z^(13/2)) + (1 - Sqrt[z])^(15/4) (-1608528 - 6031980 Sqrt[z] - 42391415 z - 132703560 z^(3/2) - 1150097520 z^2 + 8755119296 z^(5/2) + 56983745280 z^3 + 47064145920 z^(7/2) - 192386416640 z^4 - 373831434240 z^(9/2) - 46227456000 z^5 + 388447600640 z^(11/2) + 345165004800 z^6 + 92044001280 z^(13/2))))








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