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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=3/8, b>=a > For fixed z and a=3/8, b=29/8





http://functions.wolfram.com/07.23.03.bz10.01









  


  








Input Form





Hypergeometric2F1[3/8, 29/8, -(11/2), z] == -((1/(946176 (1 - z)^(19/2))) (Sqrt[1 - z] (-946176 + 9015552 z - 38716832 z^2 + 99147789 z^3 - 169782396 z^4 + 211922998 z^5 - 256158084 z^6 + 42726525 z^7 - 8310728 z^8 + 804264 z^9) Cos[(3 ArcSin[Sqrt[z]])/4] + 4 Sqrt[z] (-177408 + 1716288 z - 7489755 z^2 + 19506335 z^3 - 33984685 z^4 + 43078532 z^5 - 69133193 z^6 + 11695339 z^7 - 2178215 z^8 + 201066 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