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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=-47/8, b>=a > For fixed z and a=-47/8, b=47/8





http://functions.wolfram.com/07.23.03.b5st.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 47/8, -(5/2), -z] == (1/(320 (1 + z)^(5/2))) (-4 Sqrt[1 + z] (-80 + 942 z - 10180 z^2 + 227125 z^3 + 3997926 z^4 + 16702272 z^5 + 29312640 z^6 + 23304960 z^7 + 6935040 z^8) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-80 + 917 z - 9875 z^2 + 4998496 z^3 + 39482568 z^4 + 115515648 z^5 + 160392960 z^6 + 107089920 z^7 + 27740160 z^8) Sinh[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