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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.b79r.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 45/8, -(7/2), -z] == (1/(1792 (1 + z)^(7/2))) (Sqrt[1 + z] (1792 - 10320 z + 52863 z^2 - 342057 z^3 + 5249328 z^4 + 81422520 z^5 + 287123200 z^6 + 431566080 z^7 + 298721280 z^8 + 78510080 z^9) Cosh[(3 ArcSinh[Sqrt[z]])/4] - 4 Sqrt[z] (336 - 1886 z + 9599 z^2 - 62492 z^3 + 6880257 z^4 + 46660410 z^5 + 117618240 z^6 + 142778240 z^7 + 84494080 z^8 + 19627520 z^9) 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