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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=21/8





http://functions.wolfram.com/07.23.03.b6vd.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 21/8, 11/2, -z] == (1024 (Sqrt[z] Sqrt[1 + z] (1442112 + 7717016 z + 11965023 z^2 - 3515148 z^3 + 54291946 z^4 + 183899556 z^5 + 276799647 z^6 + 239344904 z^7 + 123430608 z^8 + 35528640 z^9 + 4417280 z^10) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1922816 + 11931760 z + 24677927 z^2 + 8630139 z^3 + 11311566 z^4 + 122660214 z^5 + 298828627 z^6 + 383091263 z^7 + 296895208 z^8 + 140642768 z^9 + 37737280 z^10 + 4417280 z^11) Sinh[(3 ArcSinh[Sqrt[z]])/4]))/ (43546758255 z^(9/2) Sqrt[1 + z])








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