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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=-41/8, b>=a > For fixed z and a=-41/8, b=35/8





http://functions.wolfram.com/07.23.03.b9fo.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 35/8, 11/2, z] == (1/(650345524257 z^(9/2))) (512 ((1 + Sqrt[z])^(25/4) (4460800 - 27880000 Sqrt[z] + 99531600 z - 268345000 z^(3/2) + 605654665 z^2 - 1207552500 z^(5/2) + 2189695200 z^3 - 3680160000 z^(7/2) + 5741049600 z^4 - 7636575232 z^(9/2) + 7541248000 z^5 - 4881776640 z^(11/2) + 1810432000 z^6 - 289669120 z^(13/2)) - (1 - Sqrt[z])^(25/4) (4460800 + 27880000 Sqrt[z] + 99531600 z + 268345000 z^(3/2) + 605654665 z^2 + 1207552500 z^(5/2) + 2189695200 z^3 + 3680160000 z^(7/2) + 5741049600 z^4 + 7636575232 z^(9/2) + 7541248000 z^5 + 4881776640 z^(11/2) + 1810432000 z^6 + 289669120 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