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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=-37/8, b>=a > For fixed z and a=-37/8, b=21/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), 21/8, 7/2, -z] == (1/(15295665 z^(5/2))) (64 (4 Sqrt[z] (3219 - 2146 z + 73157 z^2 + 318600 z^3 + 555018 z^4 + 493068 z^5 + 222768 z^6 + 40800 z^7) Cosh[(3 ArcSinh[Sqrt[z]])/4] - (1/Sqrt[1 + z]) ((17168 + 3219 z + 61161 z^2 + 745241 z^3 + 2187219 z^4 + 3105024 z^5 + 2397408 z^6 + 972672 z^7 + 163200 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