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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=-19/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), -(19/8), 3/2, -z] == (1/3606975) (4 ((-(-1100517 + 12221872 z - 20187758 z^2 + 4987044 z^3 + 167371 z^4 + 8740 z^5)) Cosh[(3 ArcSinh[Sqrt[z]])/4] + (1/(Sqrt[z] Sqrt[1 + z])) ((-265031 + 6926769 z - 9352914 z^2 - 11638078 z^3 + 5069637 z^4 + 171741 z^5 + 8740 z^6) 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