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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=-7/8, b>=a > For fixed z and a=-7/8, b=31/8





http://functions.wolfram.com/07.23.03.bto4.01









  


  








Input Form





Hypergeometric2F1[-(7/8), 31/8, -(9/2), z] == -((1/(1059840 (1 - z)^(15/2))) (Sqrt[1 - z] (-1059840 + 6653440 z - 16793220 z^2 + 20233307 z^3 - 7587125 z^4 - 11835915 z^5 + 13591981 z^6 - 5955092 z^7 + 995280 z^8) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (-264960 + 1746160 z - 4682915 z^2 + 6169888 z^3 - 3034850 z^4 - 17949724 z^5 + 16445117 z^6 - 6452732 z^7 + 995280 z^8) 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