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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=-25/8, b>=a > For fixed z and a=-25/8, b=43/8





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









  


  








Input Form





Hypergeometric2F1[-(25/8), 43/8, -(9/2), -z] == (1/(3677184 (1 + z)^(47/8))) ((3677184 + 2247168 z - 8288940 z^2 + 6482553 z^3 + 2923074 z^4 - 53892531 z^5 - 26381152 z^6 + 83874560 z^7 + 94302208 z^8 + 28114944 z^9) Cos[(7 ArcTan[Sqrt[z]])/4] + Sqrt[z] (6435072 + 8356656 z - 9036951 z^2 + 4836678 z^3 + 8887725 z^4 - 139227248 z^5 - 281378944 z^6 - 198854656 z^7 - 49201152 z^8) Sin[(7 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