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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.b9eo.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 35/8, -(5/2), z] == (1/7296) ((1/(1 - Sqrt[z])^(7/4)) (3648 - 6384 Sqrt[z] + 35112 z - 57057 z^(3/2) + 263340 z^2 - 421344 z^(5/2) + 3370752 z^3 - 10624768 z^(7/2) - 14271488 z^4 + 55193600 z^(9/2) - 10092544 z^5 - 54591488 z^(11/2) + 31195136 z^6) + (1/(1 + Sqrt[z])^(7/4)) (3648 + 6384 Sqrt[z] + 35112 z + 57057 z^(3/2) + 263340 z^2 + 421344 z^(5/2) + 3370752 z^3 + 10624768 z^(7/2) - 14271488 z^4 - 55193600 z^(9/2) - 10092544 z^5 + 54591488 z^(11/2) + 31195136 z^6))








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