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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=29/8





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









  


  










Input Form





Hypergeometric2F1[-(39/8), 29/8, 21/4, z] == (1/(766282825 z^5)) (16 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (-444912 + 864156 z + 405697 z^2 + 1252741 z^3 + 19789315 z^4 - 84552069 z^5 + 137470992 z^6 - 113241216 z^7 + 47511552 z^8 - 8110080 z^9 - (1/Sqrt[1 - z]) (-444912 + 1086612 z + 29233 z^2 + 969680 z^3 + 19075602 z^4 - 118596604 z^5 + 265253029 z^6 - 310338144 z^7 + 204737280 z^8 - 72585216 z^9 + 10813440 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