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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=-13/8, b>=a > For fixed z and a=-13/8, b=-3/8





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









  


  








Input Form





Hypergeometric2F1[-(13/8), -(3/8), 7/2, -z] == -((1/(451605 z^(5/2) Sqrt[1 + z])) (64 (2 Sqrt[z] Sqrt[1 + z] (-78 - 611 z - 7099 z^2 + 4347 z^3 + 161 z^4) Cosh[(3 ArcSinh[Sqrt[z]])/4] + (208 + 1807 z + 10907 z^2 + 775 z^3 - 8855 z^4 - 322 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