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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=-3/8





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









  


  








Input Form





Hypergeometric2F1[-(37/8), -(3/8), 9/2, -z] == (256 ((-Sqrt[z]) Sqrt[1 + z] (-51504 - 644873 z - 4383205 z^2 - 76205798 z^3 + 82814950 z^4 + 10143851 z^5 + 2343631 z^6 + 402132 z^7 + 34224 z^8) Cosh[(3 ArcSinh[Sqrt[z]])/4] + (-68672 - 918488 z - 6576417 z^2 - 49771105 z^3 + 34461074 z^4 + 87617718 z^5 + 11267539 z^6 + 2540419 z^7 + 419244 z^8 + 34224 z^9) Sinh[(3 ArcSinh[Sqrt[z]])/4]))/(10905809145 z^(7/2) 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