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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=5/8





http://functions.wolfram.com/07.23.03.bbm1.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 5/8, -(1/2), z] == (1/340) (2 (170 + 935 z - 8368 z^2 + 16319 z^3 - 12688 z^4 + 3536 z^5) Cos[(3 ArcSin[Sqrt[z]])/4] + (Sqrt[z] (255 + 7468 z - 30325 z^2 + 44442 z^3 - 28912 z^4 + 7072 z^5) Sin[(3 ArcSin[Sqrt[z]])/4])/Sqrt[1 - z])








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