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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=-39/8, b>=a > For fixed z and a=-39/8, b=21/8





http://functions.wolfram.com/07.23.03.bad9.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 21/8, 9/2, -z] == (256 (Sqrt[z] (171120 + 464163 z - 244559 z^2 + 22046809 z^3 + 66371787 z^4 + 88830896 z^5 + 63848064 z^6 + 24127488 z^7 + 3784704 z^8) Cos[ArcTan[Sqrt[z]]/4] - (684480 + 2070552 z - 454181 z^2 + 2829897 z^3 + 11860721 z^4 + 18185867 z^5 + 14247072 z^6 + 5736192 z^7 + 946176 z^8) Sin[ArcTan[Sqrt[z]]/4]))/(5435418483 z^(7/2) (1 + z)^(1/8))








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