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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=19/8, b>=a > For fixed z and a=19/8, b=47/8





http://functions.wolfram.com/07.23.03.c7nu.01









  


  








Input Form





Hypergeometric2F1[19/8, 47/8, -(7/2), -z] == (1/(1792 (1 + z)^(91/8))) ((1792 + 27024 z + 212775 z^2 + 1326247 z^3 + 12557886 z^4 - 33749826 z^5 + 8047763 z^6 + 560475 z^7 + 53016 z^8 + 3008 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (1344 + 20072 z + 156699 z^2 + 972483 z^3 - 28518050 z^4 + 22976238 z^5 - 414681 z^6 - 39433 z^7 - 2256 z^8) Sin[(3 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