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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=13/8





http://functions.wolfram.com/07.23.03.b6ql.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 13/8, 7/2, -z] == (1/(35689885 z^(5/2))) (64 (4 Sqrt[z] (-9657 - 45066 z + 183218 z^2 + 586356 z^3 + 910515 z^4 + 836030 z^5 + 462060 z^6 + 142800 z^7 + 19040 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/Sqrt[1 + z]) ((-51504 - 284345 z + 30044 z^2 + 1601194 z^3 + 3843724 z^4 + 5115815 z^5 + 4201600 z^6 + 2124320 z^7 + 609280 z^8 + 76160 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