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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=5/8





http://functions.wolfram.com/07.23.03.b52i.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 5/8, -(11/2), z] == (1/270336) ((1/(1 - Sqrt[z])^(1/4)) (135168 - 33792 Sqrt[z] + 77568 z - 29952 z^(3/2) + 65888 z^2 - 28604 z^(5/2) + 63091 z^3 - 28604 z^(7/2) + 65888 z^4 - 29952 z^(9/2) + 77568 z^5 - 33792 z^(11/2) + 135168 z^6) + (1/(1 + Sqrt[z])^(1/4)) (135168 + 33792 Sqrt[z] + 77568 z + 29952 z^(3/2) + 65888 z^2 + 28604 z^(5/2) + 63091 z^3 + 28604 z^(7/2) + 65888 z^4 + 29952 z^(9/2) + 77568 z^5 + 33792 z^(11/2) + 135168 z^6))










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