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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=-45/8, b>=a > For fixed z and a=-45/8, b=29/8





http://functions.wolfram.com/07.23.03.b6zf.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 29/8, -(9/2), -z] == (1/(7168 (1 + z)^(5/2))) (-2 Sqrt[1 + z] (-3584 + 8064 z - 17890 z^2 + 45199 z^3 - 154105 z^4 + 1237600 z^5 + 10307440 z^6 + 15776000 z^7 + 6941440 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-5376 + 11312 z - 24581 z^2 + 62433 z^3 - 217770 z^4 + 9706320 z^5 + 34655520 z^6 + 38493440 z^7 + 13882880 z^8) 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