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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=17/8, b>=a > For fixed z and a=17/8, b=39/8





http://functions.wolfram.com/07.23.03.c6m2.01









  


  








Input Form





Hypergeometric2F1[17/8, 39/8, -(11/2), -z] == (1/(674623488 (1 + z)^(25/2))) (Sqrt[1 + z] (674623488 + 9387232512 z + 62651024800 z^2 + 272243678433 z^3 + 904687815458 z^4 + 2765017313311 z^5 + 13656049596768 z^6 - 18167911561425 z^7 + 1526898187386 z^8 + 85368842481 z^9 + 3788157828 z^10) Cosh[ArcSinh[Sqrt[z]]/4] - Sqrt[z] (168655872 + 2399513088 z + 16373734132 z^2 + 72656898179 z^3 + 245533621090 z^4 + 753990076957 z^5 + 75968538576132 z^6 - 47875373177331 z^7 + 1569109088898 z^8 + 87262921395 z^9 + 3788157828 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