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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=9/8, b>=a > For fixed z and a=9/8, b=47/8





http://functions.wolfram.com/07.23.03.c2uk.01









  


  










Input Form





Hypergeometric2F1[9/8, 47/8, -(9/2), -z] == (1/(5110784 (1 + z)^(23/2))) ((-Sqrt[1 + z]) (-5110784 - 63884800 z - 381269620 z^2 - 1491099039 z^3 - 4708574283 z^4 - 20182749826 z^5 + 11433963110 z^6 + 2469922605 z^7 + 551960857 z^8 + 86256324 z^9 + 6609680 z^10) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-1277696 - 16370480 z - 100138711 z^2 - 400539158 z^3 - 1282145833 z^4 - 94902348024 z^5 + 12605062135 z^6 + 2735534098 z^7 + 594262809 z^8 + 89561164 z^9 + 6609680 z^10) 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