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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.blzh.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 37/8, -(9/2), z] == (1/(89088 (-1 + z)^6)) (4 (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) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) (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) Sin[(3 ArcSin[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