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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=1/8, b>=a > For fixed z and a=1/8, b=39/8





http://functions.wolfram.com/07.23.03.by1l.01









  


  










Input Form





Hypergeometric2F1[1/8, 39/8, -(9/2), -z] == (1/(15332352 (1 + z)^(19/2))) (Sqrt[1 + z] (15332352 + 140546560 z + 576831260 z^2 + 1400666397 z^3 + 2264978544 z^4 + 2924017278 z^5 + 1649887720 z^6 + 661531325 z^7 + 158962804 z^8 + 17185168 z^9) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (3833088 + 36334480 z + 154678933 z^2 + 390861609 z^3 + 659038734 z^4 + 3675533602 z^5 + 1961857105 z^6 + 738864581 z^7 + 167555388 z^8 + 17185168 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