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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=37/8





http://functions.wolfram.com/07.23.03.bc57.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 37/8, -(9/2), z] == (1/(64512 (1 - z)^(9/2))) (2 Sqrt[1 - z] (32256 + 15232 z + 17426 z^2 + 29187 z^3 + 79632 z^4 + 605115 z^5 - 5441904 z^6 + 10497840 z^7 - 7964160 z^8 + 2154240 z^9) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (48384 + 15792 z + 18397 z^2 + 34740 z^3 + 106785 z^4 + 4854894 z^5 - 19659888 z^6 + 28421280 z^7 - 18082560 z^8 + 4308480 z^9) 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