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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=-15/8, b>=a > For fixed z and a=-15/8, b=39/8





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









  


  










Input Form





Hypergeometric2F1[-(15/8), 39/8, 11/2, z] == (1/(326794281 z^(9/2))) (1024 (Sqrt[z] (2240 + 1880 z + 2657 z^2 + 5775 z^3 + 349976 z^4 - 658768 z^5 + 307648 z^6) Cos[ArcSin[Sqrt[z]]/4] + (1/Sqrt[1 - z]) ((-8960 - 1360 z - 4723 z^2 - 14822 z^3 - 106095 z^4 + 640904 z^5 - 812592 z^6 + 307648 z^7) Sin[ArcSin[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