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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=-45/8, b>=a > For fixed z and a=-45/8, b=37/8





http://functions.wolfram.com/07.23.03.b753.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 37/8, 7/2, z] == (1/(463968505 z^(5/2))) (64 (Sqrt[z] (3996 + 46287 z + 8277106 z^2 - 73098657 z^3 + 244623540 z^4 - 414118640 z^5 + 380517120 z^6 - 181674240 z^7 + 35425280 z^8) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) ((-5328 - 57165 z - 1317237 z^2 + 29508117 z^3 - 161299927 z^4 + 414089060 z^5 - 583882000 z^6 + 466926080 z^7 - 199386880 z^8 + 35425280 z^9) Sin[(3 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