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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.bi7x.01









  


  








Input Form





Hypergeometric2F1[-(27/8), 41/8, -(19/4), z] == (2 (129200 - 312800 z + 43945 z^2 + 84915 z^3 + 183175 z^4 + 726325 z^5 - 3482664 z^6 + 4550464 z^7 - 2542592 z^8 + 532480 z^9) + (1/Sqrt[1 - z]) (258400 - 754800 z + 368390 z^2 + 187935 z^3 + 299455 z^4 + 1260125 z^5 - 22679697 z^6 + 51388768 z^7 - 50038528 z^8 + 23269376 z^9 - 4259840 z^10))/(258400 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (-1 + z)^6)








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