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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=39/8





http://functions.wolfram.com/07.23.03.c2ob.01









  


  










Input Form





Hypergeometric2F1[9/8, 39/8, -(9/2), -z] == (1/(5110784 (1 + z)^(21/2))) (-4 Sqrt[1 + z] (-1277696 - 14374080 z - 76280305 z^2 - 261355141 z^3 - 710175807 z^4 - 2574292204 z^5 + 1122964245 z^6 + 183499095 z^7 + 27437683 z^8 + 2148146 z^9) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-1277696 - 14773360 z - 80602511 z^2 - 283382563 z^3 - 782764198 z^4 - 44835835214 z^5 + 4845673365 z^6 + 787797673 z^7 + 114047024 z^8 + 8592584 z^9) 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