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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=47/8





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









  


  








Input Form





Hypergeometric2F1[3/8, 47/8, -(7/2), -z] == (1/(23296 (1 + z)^(75/8))) ((23296 + 226512 z + 1018875 z^2 + 2938416 z^3 + 8175258 z^4 + 4293372 z^5 + 2310179 z^6 + 881340 z^7 + 204288 z^8 + 21504 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (17472 + 167336 z + 740337 z^2 + 2101164 z^3 - 2999410 z^4 - 1644156 z^5 - 639543 z^6 - 150864 z^7 - 16128 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