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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=37/8





http://functions.wolfram.com/07.23.03.b751.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 37/8, 5/2, -z] == (1/(2099405 z^(3/2))) (16 (Sqrt[z] (-333 + 146066 z + 1775907 z^2 + 7608084 z^3 + 15727120 z^4 + 17084160 z^5 + 9419520 z^6 + 2083840 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/Sqrt[1 + z]) ((-444 + 19425 z + 613434 z^2 + 4370849 z^3 + 13843444 z^4 + 23222000 z^5 + 21533440 z^6 + 10461440 z^7 + 2083840 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