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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=-41/8, b>=a > For fixed z and a=-41/8, b=43/8





http://functions.wolfram.com/07.23.03.b9j5.01









  


  










Input Form





Hypergeometric2F1[-(41/8), 43/8, -(7/2), -z] == (1/(510720 (1 + z)^(23/8))) ((510720 - 3333360 z + 15588531 z^2 - 78997611 z^3 + 814247280 z^4 + 3351572224 z^5 - 559104000 z^6 - 7401046016 z^7 - 4402970624 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] + 2 Sqrt[z] (446880 - 2609460 z + 11826759 z^2 - 60875430 z^3 + 1249046656 z^4 + 6596821504 z^5 + 9124577280 z^6 + 3852599296 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