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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.c3hx.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) Cosh[(3 ArcSinh[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) 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