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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=-37/8, b>=a > For fixed z and a=-37/8, b=-19/8





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









  


  










Input Form





Hypergeometric2F1[-(37/8), -(19/8), 5/2, z] == (1/(1826331675 z^(3/2))) (16 (Sqrt[z] (-795093 + 151829825 z + 1028257706 z^2 + 1204366706 z^3 + 229282975 z^4 - 6190979 z^5 + 270940 z^6) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) ((1060124 - 51150983 z - 616619325 z^2 - 352310938 z^3 + 792732034 z^4 + 232344597 z^5 - 6326449 z^6 + 270940 z^7) 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