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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=41/8





http://functions.wolfram.com/07.23.03.bw2g.01









  


  








Input Form





Hypergeometric2F1[-(3/8), 41/8, -(5/2), -z] == (1/(17600 (1 + z)^(53/8))) (-2 (-8800 - 44660 z - 75735 z^2 + 56100 z^3 + 144285 z^4 + 133990 z^5 + 60032 z^6 + 10752 z^7) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (22000 + 115775 z + 210375 z^2 + 424401 z^3 + 363241 z^4 + 155120 z^5 + 26880 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