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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=-21/8, b>=a > For fixed z and a=-21/8, b=45/8





http://functions.wolfram.com/07.23.03.bm51.01









  


  










Input Form





Hypergeometric2F1[-(21/8), 45/8, -(11/2), -z] == (1/(48345088 (1 + z)^(17/2))) ((-Sqrt[1 + z]) (-48345088 - 270567680 z - 538972192 z^2 - 358413117 z^3 + 83217588 z^4 - 79811886 z^5 + 245309260 z^6 + 1327748531 z^7 + 1931280376 z^8 + 1367880656 z^9 + 492347200 z^10 + 72569600 z^11) Cosh[(3 ArcSinh[Sqrt[z]])/4] + Sqrt[z] (-36258816 - 208213504 z - 430517644 z^2 - 311621733 z^3 + 48666988 z^4 - 43879262 z^5 + 736018032 z^6 + 2150340587 z^7 + 2558212904 z^8 + 1604983056 z^9 + 528632000 z^10 + 72569600 z^11) 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