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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=13/8, b>=a > For fixed z and a=13/8, b=25/8





http://functions.wolfram.com/07.23.03.c4ea.01









  


  








Input Form





Hypergeometric2F1[13/8, 25/8, -(11/2), -z] == (1/(135168 (1 + z)^(77/8))) ((135168 + 1320192 z + 5932128 z^2 + 16526777 z^3 + 33432048 z^4 + 60358590 z^5 + 194019780 z^6 - 42288015 z^7 - 1199660 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (168960 + 1681920 z + 7725372 z^2 + 22057663 z^3 + 45708732 z^4 + 83425698 z^5 - 141340128 z^6 + 1499575 z^7) 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