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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=-45/8, b>=a > For fixed z and a=-45/8, b=31/8





http://functions.wolfram.com/07.23.03.b71x.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 31/8, 11/2, z] == (1/(77044264605 z^(9/2))) (512 ((1 + Sqrt[z])^(29/4) (-1922816 + 13940416 Sqrt[z] - 54027696 z + 152099896 z^(3/2) - 347994287 z^2 + 684449532 z^(5/2) - 1188609312 z^3 + 1840134912 z^(7/2) - 2474664192 z^4 + 2684357632 z^(9/2) - 2138943488 z^5 + 1137573888 z^(11/2) - 355401728 z^6 + 49020928 z^(13/2)) + (1 - Sqrt[z])^(29/4) (1922816 + 13940416 Sqrt[z] + 54027696 z + 152099896 z^(3/2) + 347994287 z^2 + 684449532 z^(5/2) + 1188609312 z^3 + 1840134912 z^(7/2) + 2474664192 z^4 + 2684357632 z^(9/2) + 2138943488 z^5 + 1137573888 z^(11/2) + 355401728 z^6 + 49020928 z^(13/2))))








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