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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=41/8





http://functions.wolfram.com/07.23.03.bw2b.01









  


  








Input Form





Hypergeometric2F1[-(3/8), 41/8, -(7/2), -z] == (1/(19712 (1 + z)^(61/8))) ((19712 + 124080 z + 310365 z^2 + 333795 z^3 - 294525 z^4 - 509615 z^5 - 374460 z^6 - 139776 z^7 - 21504 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (24640 + 159720 z + 417153 z^2 + 490875 z^3 + 725779 z^4 + 500961 z^5 + 179760 z^6 + 26880 z^7) Sin[(5 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