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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=19/8, b>=a > For fixed z and a=19/8, b=45/8





http://functions.wolfram.com/07.23.03.c7m5.01









  


  








Input Form





Hypergeometric2F1[19/8, 45/8, -(3/2), z] == -((1/(223184 (1 - z)^(19/2))) (Sqrt[1 - z] (-223184 + 4059159 z - 71474676 z^2 - 397312958 z^3 - 196420092 z^4 + 10757031 z^5 - 1226360 z^6 + 85560 z^7) Cos[(3 ArcSin[Sqrt[z]])/4] + 4 Sqrt[z] (-41847 + 767195 z - 40618291 z^2 - 129490216 z^3 - 50412665 z^4 + 2839879 z^5 - 317285 z^6 + 21390 z^7) 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