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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=33/8





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









  


  








Input Form





Hypergeometric2F1[-(3/8), 33/8, -(11/2), -z] == (1/(12288 (1 + z)^(69/8))) ((12288 + 92928 z + 300576 z^2 + 532655 z^3 + 534860 z^4 + 230010 z^5 - 292740 z^6 - 220785 z^7 - 75440 z^8 - 10496 z^9) Cos[(5 ArcTan[Sqrt[z]])/4] + 4 Sqrt[z] (3840 + 29760 z + 99393 z^2 + 184228 z^3 + 198976 z^4 + 104550 z^5 + 73431 z^6 + 24190 z^7 + 3280 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