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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=35/8





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









  


  








Input Form





Hypergeometric2F1[31/8, 35/8, -(13/4), z] == (43056 (1 + Sqrt[1 - z]) - 828 (879 + 853 Sqrt[1 - z]) z + 69 (95983 + 90943 Sqrt[1 - z]) z^2 - 759 (67290 + 63269 Sqrt[1 - z]) z^3 + 2277 (422001 + 411782 Sqrt[1 - z]) z^4 + 14 (231706436 + 187008817 Sqrt[1 - z]) z^5 + (2047864197 + 1254576679 Sqrt[1 - z]) z^6 + 3 (92381718 + 32840939 Sqrt[1 - z]) z^7 + 3927595 z^8)/ (43056 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (1 - z)^(23/2))








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