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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=-21/8, b>=a > For fixed z and a=-21/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), 37/8, -(9/2), -z] == (1/(89088 (1 + z)^(13/2))) (-4 Sqrt[1 + z] (-22272 - 79808 z - 70905 z^2 + 18792 z^3 - 18995 z^4 + 58986 z^5 + 302874 z^6 + 380460 z^7 + 203184 z^8 + 40800 z^9) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-66816 - 249168 z - 241541 z^2 + 42833 z^3 - 41615 z^4 + 695883 z^5 + 1881024 z^6 + 1907808 z^7 + 894336 z^8 + 163200 z^9) 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