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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=-33/8, b>=a > For fixed z and a=-33/8, b=19/8





http://functions.wolfram.com/07.23.03.be7z.01









  


  








Input Form





Hypergeometric2F1[-(33/8), 19/8, 11/2, -z] == -((1024 (Sqrt[z] (-78400 - 413000 z - 716835 z^2 - 149940 z^3 - 695434 z^4 - 23292 z^5 + 1017557 z^6 + 1109472 z^7 + 499968 z^8 + 86016 z^9) Cos[(7 ArcTan[Sqrt[z]])/4] - (-44800 - 205200 z - 249295 z^2 + 186240 z^3 + 224910 z^4 + 2285332 z^5 + 3533033 z^6 + 2607780 z^7 + 978432 z^8 + 150528 z^9) Sin[(7 ArcTan[Sqrt[z]])/4]))/ (1037233691 z^(9/2) (1 + z)^(7/8)))








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