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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=-25/8, b>=a > For fixed z and a=-25/8, b=35/8





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









  


  










Input Form





Hypergeometric2F1[-(25/8), 35/8, 5/2, z] == (1/(8746023 z^(3/2))) (8 ((1 + Sqrt[z])^(5/4) (-1700 + 2125 Sqrt[z] - 47600 z + 605728 z^(3/2) - 114560 z^2 - 2942720 z^(5/2) + 1914880 z^3 + 2928640 z^(7/2) - 2342912 z^4) + (1 - Sqrt[z])^(5/4) (1700 + 2125 Sqrt[z] + 47600 z + 605728 z^(3/2) + 114560 z^2 - 2942720 z^(5/2) - 1914880 z^3 + 2928640 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