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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=31/8, b>=a > For fixed z and a=31/8, b=43/8





http://functions.wolfram.com/07.23.03.cbm8.01









  


  










Input Form





Hypergeometric2F1[31/8, 43/8, -(7/2), -z] == (1/(8960 (1 + z)^(95/8))) ((8960 + 146000 z + 1311219 z^2 + 10324391 z^3 + 149593290 z^4 - 462959266 z^5 + 217798455 z^6 - 12981829 z^7 - 172516 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (15680 + 266280 z + 2477027 z^2 + 19759355 z^3 - 347781698 z^4 + 394240798 z^5 - 74152785 z^6 + 301903 z^7) Sin[(7 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