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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=-41/8





http://functions.wolfram.com/07.23.03.b4mw.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(41/8), -(5/2), z] == (1/(6080 Sqrt[1 - z])) ((-Sqrt[1 - z]) (-6080 + 73416 z - 493069 z^2 + 3977156 z^3 + 13011570 z^4 + 4028572 z^5 + 52275 z^6) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (1520 - 18829 z + 128801 z^2 + 3075262 z^3 - 1360526 z^4 - 1773953 z^5 - 52275 z^6) Sin[ArcSin[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