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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.bbv2.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 21/8, -(9/2), z] == (1/(15360 (-1 + z)^2)) (4 (3840 + 1600 z + 1505 z^2 + 1848 z^3 + 3198 z^4 + 13260 z^5 - 62832 z^6 + 40800 z^7) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) (Sqrt[z] (11520 + 3120 z + 2765 z^2 + 3699 z^3 + 7488 z^4 + 158304 z^5 - 332928 z^6 + 163200 z^7) Sin[(3 ArcSin[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