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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=27/8, b>=a > For fixed z and a=27/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[27/8, 37/8, -(7/2), z] == -((1/(51968 (1 - z)^(23/2))) (Sqrt[1 - z] (-51968 + 818032 z - 6770195 z^2 + 44676037 z^3 - 448390460 z^4 - 1835929238 z^5 - 1037538203 z^6 - 86625935 z^7 + 737242 z^8) Cos[(3 ArcSin[Sqrt[z]])/4] + 2 Sqrt[z] (-19488 + 309604 z - 2581783 z^2 + 17097066 z^3 - 455784005 z^4 - 1192358128 z^5 - 569584401 z^6 - 43497278 z^7 + 368621 z^8) 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