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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=-3/8, b>=a > For fixed z and a=-3/8, b=25/8





http://functions.wolfram.com/07.23.03.bvs3.01









  


  










Input Form





Hypergeometric2F1[-(3/8), 25/8, -(9/2), -z] == (1/(21504 (1 + z)^(53/8))) (-2 (-10752 - 60032 z - 133990 z^2 - 144285 z^3 - 56100 z^4 + 75735 z^5 + 44660 z^6 + 8800 z^7) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (26880 + 155120 z + 363241 z^2 + 424401 z^3 + 210375 z^4 + 115775 z^5 + 22000 z^6) Sin[(5 ArcTan[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