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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.bbm2.01









  


  








Input Form





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