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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=-13/8, b>=a > For fixed z and a=-13/8, b=47/8





http://functions.wolfram.com/07.23.03.bqv7.01









  


  










Input Form





Hypergeometric2F1[-(13/8), 47/8, -(11/2), -z] == (1/(405504 (1 + z)^(75/8))) ((405504 + 2983680 z + 8866592 z^2 + 12587475 z^3 + 5980644 z^4 - 4282278 z^5 + 7007364 z^6 + 23063019 z^7 + 24918544 z^8 + 14136192 z^9 + 4257792 z^10 + 540672 z^11) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (304128 + 2193408 z + 6340236 z^2 + 8584513 z^3 + 3413844 z^4 - 3503682 z^5 - 15067544 z^6 - 17305815 z^7 - 10158624 z^8 - 3134208 z^9 - 405504 z^10) 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