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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=33/8





http://functions.wolfram.com/07.23.03.c07r.01









  


  








Input Form





Hypergeometric2F1[5/8, 33/8, -(11/2), z] == (1/24576) ((1/(1 - Sqrt[z])^(41/4)) (12288 - 125952 Sqrt[z] + 576768 z - 1542912 z^(3/2) + 2635808 z^2 - 2933140 z^(5/2) + 2059225 z^3 - 838040 z^(7/2) + 188272 z^4 - 18368 z^(9/2)) + (1/(1 + Sqrt[z])^(41/4)) (12288 + 125952 Sqrt[z] + 576768 z + 1542912 z^(3/2) + 2635808 z^2 + 2933140 z^(5/2) + 2059225 z^3 + 838040 z^(7/2) + 188272 z^4 + 18368 z^(9/2)))








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