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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=-5/8, b>=a > For fixed z and a=-5/8, b=37/8





http://functions.wolfram.com/07.23.03.bv3k.01









  


  








Input Form





Hypergeometric2F1[-(5/8), 37/8, -(3/2), -z] == (1/(18096 (1 + z)^(11/2))) ((-Sqrt[1 + z]) (-18096 - 60697 z + 52780 z^2 + 177443 z^3 + 199614 z^4 + 104208 z^5 + 21216 z^6) Cosh[(3 ArcSinh[Sqrt[z]])/4] + 2 Sqrt[z] (-6786 - 23751 z + 61117 z^2 + 132775 z^3 + 124533 z^4 + 57408 z^5 + 10608 z^6) 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