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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=47/8





http://functions.wolfram.com/07.23.03.c7np.01









  


  








Input Form





Hypergeometric2F1[19/8, 47/8, -(9/2), -z] == (1/(64512 (1 + z)^(99/8))) (4 (16128 + 245056 z + 1852785 z^2 + 9765723 z^3 + 45979384 z^4 + 353388156 z^5 - 775434183 z^6 + 156451955 z^7 + 9606894 z^8 + 809622 z^9 + 41360 z^10) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (48384 + 728112 z + 5453789 z^2 + 28525398 z^3 + 133949475 z^4 - 2880201932 z^5 + 1937805939 z^6 - 28473258 z^7 - 2410771 z^8 - 124080 z^9) Sin[(3 ArcTan[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