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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=45/8





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









  


  










Input Form





Hypergeometric2F1[-(31/8), 45/8, 9/2, z] == (1/(377207225967 z^(7/2))) (128 ((1 + Sqrt[z])^(11/4) (228160 - 627440 Sqrt[z] + 2606728 z - 5795977 z^(3/2) + 19550460 z^2 - 41411040 z^(5/2) + 210819840 z^3 + 981350656 z^(7/2) - 4754207744 z^4 + 3447009280 z^(9/2) + 5716705280 z^5 - 8762490880 z^(11/2) + 3186360320 z^6) - (1 - Sqrt[z])^(11/4) (228160 + 627440 Sqrt[z] + 2606728 z + 5795977 z^(3/2) + 19550460 z^2 + 41411040 z^(5/2) + 210819840 z^3 - 981350656 z^(7/2) - 4754207744 z^4 - 3447009280 z^(9/2) + 5716705280 z^5 + 8762490880 z^(11/2) + 3186360320 z^6)))










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