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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=-27/8, b>=a > For fixed z and a=-27/8, b=41/8





http://functions.wolfram.com/07.23.03.bi7u.01









  


  








Input Form





Hypergeometric2F1[-(27/8), 41/8, -(11/2), -z] == (1/(225280 (1 + z)^(53/8))) ((225280 + 608000 z + 176800 z^2 - 352325 z^3 + 352835 z^4 - 251515 z^5 - 453475 z^6 + 3147040 z^7 + 5896960 z^8 + 3780608 z^9 + 851968 z^10) Cos[(5 ArcTan[Sqrt[z]])/4] - 2 Sqrt[z] (-140800 - 406400 z - 182410 z^2 + 196775 z^3 - 181900 z^4 + 116875 z^5 + 2672536 z^6 + 4131136 z^7 + 2462720 z^8 + 532480 z^9) 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