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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=11/8, b>=a > For fixed z and a=11/8, b=29/8





http://functions.wolfram.com/07.23.03.c3i5.01









  


  








Input Form





Hypergeometric2F1[11/8, 29/8, -(7/2), -z] == (1/(8960 (1 + z)^(17/2))) ((-Sqrt[1 + z]) (-8960 - 86960 z - 404019 z^2 - 1302280 z^3 - 5097106 z^4 + 4183884 z^5 + 208909 z^6 + 14260 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-6720 - 66200 z - 311913 z^2 - 1015392 z^3 - 7491622 z^4 + 4286556 z^5 + 216039 z^6 + 14260 z^7) 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