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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=37/8





http://functions.wolfram.com/07.23.03.b5ma.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 37/8, 3/2, -z] == (1/(16419249 Sqrt[z] (1 + z)^(1/8))) (4 (Sqrt[z] (4146701 + 76935713 z + 434370288 z^2 + 1100675840 z^3 + 1404485632 z^4 + 884539392 z^5 + 219152384 z^6) Cos[ArcTan[Sqrt[z]]/4] - (167555 + 7801851 z + 63372628 z^2 + 198370304 z^3 + 291861504 z^4 + 204013568 z^5 + 54788096 z^6) 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