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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=-21/8, b>=a > For fixed z and a=-21/8, b=15/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), 15/8, -(11/2), z] == (1/270336) ((1/(1 - Sqrt[z])^(19/4)) (135168 - 642048 Sqrt[z] + 1324800 z - 1678080 z^(3/2) + 1622880 z^2 - 1358196 z^(5/2) + 1002731 z^3 - 646760 z^(7/2) + 347760 z^4 - 139840 z^(9/2) + 29440 z^5) + (1/(1 + Sqrt[z])^(19/4)) (135168 + 642048 Sqrt[z] + 1324800 z + 1678080 z^(3/2) + 1622880 z^2 + 1358196 z^(5/2) + 1002731 z^3 + 646760 z^(7/2) + 347760 z^4 + 139840 z^(9/2) + 29440 z^5))








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