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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=11/8, b>=a > For fixed z and a=11/8, b=29/8





http://functions.wolfram.com/07.23.03.c3hw.01









  


  








Input Form





Hypergeometric2F1[11/8, 29/8, -(11/2), z] == (1/(258048 (1 - z)^(21/2))) (Sqrt[1 - z] (258048 - 2886912 z + 15006880 z^2 - 48647377 z^3 + 113332485 z^4 - 220265822 z^5 + 581941178 z^6 + 335277555 z^7 - 12633647 z^8 + 670220 z^9) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (193536 - 2193408 z + 11553276 z^2 - 37942147 z^3 + 89425455 z^4 - 174901314 z^5 + 800722682 z^6 + 341510601 z^7 - 12968757 z^8 + 670220 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