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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=41/8, b>=a > For fixed z and a=41/8, b=47/8





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









  


  










Input Form





Hypergeometric2F1[41/8, 47/8, -(3/2), -z] == (1/(171120 (1 + z)^(25/2))) ((-Sqrt[1 + z]) (-171120 - 5493665 z - 197322750 z^2 + 2729713769 z^3 - 6058030004 z^4 + 3411551169 z^5 - 434815614 z^6 + 4265175 z^7) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-42780 - 1386785 z - 2748178474 z^2 + 16255410505 z^3 - 22669874936 z^4 + 8851563873 z^5 - 793554786 z^6 + 4265175 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