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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=25/8, b>=a > For fixed z and a=25/8, b=39/8





http://functions.wolfram.com/07.23.03.c9sh.01









  


  










Input Form





Hypergeometric2F1[25/8, 39/8, -(9/2), z] == (1/(15332352 (1 - z)^(25/2))) (2 Sqrt[1 - z] (7666176 - 118186880 z + 910864630 z^2 - 4926984721 z^3 + 24037856692 z^4 - 193798977799 z^5 - 537458938170 z^6 - 199666485855 z^7 - 6493984848 z^8 + 135291351 z^9) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (3833088 - 60291280 z + 473389933 z^2 - 2598263264 z^3 + 12732656319 z^4 - 2767212846242 z^5 - 3701655013845 z^6 - 867805821756 z^7 - 13123261047 z^8 + 270582702 z^9) Sin[ArcSin[Sqrt[z]]/4])










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