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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=-5/8





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









  


  








Input Form





Hypergeometric2F1[-(25/8), -(5/8), 11/2, -z] == (1024 (Sqrt[z] (15680 + 175560 z + 962269 z^2 + 3766917 z^3 + 38342546 z^4 - 49491118 z^5 + 4615985 z^6 + 329681 z^7 + 21648 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] - (8960 + 94160 z + 481283 z^2 + 1778711 z^3 + 9103050 z^4 - 58733378 z^5 + 23288391 z^6 + 602987 z^7 + 37884 z^8) Sin[(7 ArcTan[Sqrt[z]])/4]))/ (20338799767 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