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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=31/8





http://functions.wolfram.com/07.23.03.b5is.01









  


  










Input Form





Hypergeometric2F1[-(47/8), 31/8, 3/2, -z] == (1/690795) (4 (2 (88717 + 1414742 z + 7052041 z^2 + 16073584 z^3 + 18704016 z^4 + 10856448 z^5 + 2499840 z^6) Cosh[ArcSinh[Sqrt[z]]/4] - (1/(Sqrt[z] Sqrt[1 + z])) ((18941 + 868292 z + 7489681 z^2 + 26663418 z^3 + 48449552 z^4 + 47639520 z^5 + 24212736 z^6 + 4999680 z^7) Sinh[ArcSinh[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