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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=-47/8, b>=a > For fixed z and a=-47/8, b=5/8





http://functions.wolfram.com/07.23.03.b52z.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 5/8, -(3/2), -z] == (1/(30096 (1 + z)^(1/8))) ((30096 - 70851 z + 575586 z^2 + 4218365 z^3 + 7787360 z^4 + 5832960 z^5 + 1576960 z^6) Cos[ArcTan[Sqrt[z]]/4] - 4 Sqrt[z] (-1881 + 5016 z + 164810 z^2 + 390495 z^3 + 333760 z^4 + 98560 z^5) Sin[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