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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=-39/8, b>=a > For fixed z and a=-39/8, b=13/8





http://functions.wolfram.com/07.23.03.ba8i.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 13/8, 21/4, z] == (1/(766282825 z^5)) (16 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (-444912 + 3362508 z - 10212299 z^2 + 13067864 z^3 + 24525774 z^4 - 42652624 z^5 + 37870741 z^6 - 19681788 z^7 + 5687808 z^8 - 709632 z^9 + (1/Sqrt[1 - z]) (444912 - 3584964 z + 11837939 z^2 - 17781507 z^3 - 19075602 z^4 + 79976246 z^5 - 99247233 z^6 + 72672993 z^7 - 32688544 z^8 + 8391936 z^9 - 946176 z^10)))








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