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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=-35/8, b>=a > For fixed z and a=-35/8, b=33/8





http://functions.wolfram.com/07.23.03.bd4k.01









  


  








Input Form





Hypergeometric2F1[-(35/8), 33/8, -(11/2), -z] == (1/(348160 (1 + z)^(37/8))) ((348160 + 195840 z - 318240 z^2 + 325465 z^3 - 284070 z^4 + 141865 z^5 + 742560 z^6 - 4174080 z^7 - 6656000 z^8 - 2555904 z^9) Cos[(5 ArcTan[Sqrt[z]])/4] + 4 Sqrt[z] (108800 + 81600 z - 87465 z^2 + 84065 z^3 - 70040 z^4 + 27540 z^5 + 1698144 z^6 + 2229760 z^7 + 798720 z^8) 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