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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=39/8





http://functions.wolfram.com/07.23.03.bz8k.01









  


  








Input Form





Hypergeometric2F1[3/8, 39/8, -(11/2), -z] == (1/(946176 (1 + z)^(83/8))) ((946176 + 9864960 z + 46900896 z^2 + 135062971 z^3 + 266055001 z^4 + 397226166 z^5 + 640395210 z^6 + 198622047 z^7 + 60160893 z^8 + 11858288 z^9 + 1094912 z^10) Cos[(3 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (354816 + 3647616 z + 17067750 z^2 + 48275895 z^3 + 93246796 z^4 + 136738402 z^5 - 71424678 z^6 - 21934289 z^7 - 4386980 z^8 - 410592 z^9) Sin[(3 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