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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=-21/8, b>=a > For fixed z and a=-21/8, b=39/8





http://functions.wolfram.com/07.23.03.bm1i.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 39/8, -(1/2), z] == (1/5704) ((1/(1 - Sqrt[z])^(11/4)) (2852 - 7843 Sqrt[z] + 79856 z + 564256 z^(3/2) - 2629760 z^2 + 1517824 z^(5/2) + 4573184 z^3 - 6443008 z^(7/2) + 2342912 z^4) + (1/(1 + Sqrt[z])^(11/4)) (2852 + 7843 Sqrt[z] + 79856 z - 564256 z^(3/2) - 2629760 z^2 - 1517824 z^(5/2) + 4573184 z^3 + 6443008 z^(7/2) + 2342912 z^4))








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