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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=-31/8, b>=a > For fixed z and a=-31/8, b=37/8





http://functions.wolfram.com/07.23.03.bfn7.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 37/8, 7/2, z] == (1/(1209551343 z^(5/2))) (32 ((1 + Sqrt[z])^(11/4) (11408 - 31372 Sqrt[z] + 161851 z - 376464 z^(3/2) + 2395680 z^2 + 13118336 z^(5/2) - 62427904 z^3 + 41879552 z^(7/2) + 87273472 z^4 - 128860160 z^(9/2) + 46858240 z^5) - (1 - Sqrt[z])^(11/4) (11408 + 31372 Sqrt[z] + 161851 z + 376464 z^(3/2) + 2395680 z^2 - 13118336 z^(5/2) - 62427904 z^3 - 41879552 z^(7/2) + 87273472 z^4 + 128860160 z^(9/2) + 46858240 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