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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=-23/8, b>=a > For fixed z and a=-23/8, b=39/8





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









  


  








Input Form





Hypergeometric2F1[-(23/8), 39/8, -(9/2), -z] == (1/(666624 (1 + z)^(13/2))) (-4 Sqrt[1 + z] (-166656 - 486080 z - 215605 z^2 + 204724 z^3 - 326027 z^4 + 1338766 z^5 + 5847270 z^6 + 7227220 z^7 + 3869008 z^8 + 782496 z^9) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-166656 - 538160 z - 345371 z^2 + 189007 z^3 - 262353 z^4 + 14280981 z^5 + 36104640 z^6 + 36255648 z^7 + 17041024 z^8 + 3129984 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