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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=-41/8, b>=a > For fixed z and a=-41/8, b=35/8





http://functions.wolfram.com/07.23.03.b9fa.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 35/8, 5/2, z] == (1/(126419787 z^(3/2))) (8 ((-(1 + Sqrt[z])^(13/4)) (13940 - 45305 Sqrt[z] + 627300 z - 9795552 z^(3/2) + 18034944 z^2 + 47114496 z^(5/2) - 146205696 z^3 + 51916800 z^(7/2) + 168689664 z^4 - 188284928 z^(9/2) + 57933824 z^5) + (1 - Sqrt[z])^(13/4) (13940 + 45305 Sqrt[z] + 627300 z + 9795552 z^(3/2) + 18034944 z^2 - 47114496 z^(5/2) - 146205696 z^3 - 51916800 z^(7/2) + 168689664 z^4 + 188284928 z^(9/2) + 57933824 z^5)))








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