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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=-45/8, b>=a > For fixed z and a=-45/8, b=45/8





http://functions.wolfram.com/07.23.03.b79u.01









  


  










Input Form





Hypergeometric2F1[-(45/8), 45/8, -(5/2), -z] == (1/(64 (1 + z)^(5/2))) (-4 Sqrt[1 + z] (-16 + 166 z - 1630 z^2 + 33691 z^3 + 643850 z^4 + 2741440 z^5 + 4850560 z^6 + 3872000 z^7 + 1154560 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-48 + 491 z - 4813 z^2 + 785664 z^3 + 6420600 z^4 + 19019520 z^5 + 26568960 z^6 + 17797120 z^7 + 4618240 z^8) Sinh[(3 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