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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=-39/8, b>=a > For fixed z and a=-39/8, b=29/8





http://functions.wolfram.com/07.23.03.bah8.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 29/8, -(7/2), z] == (1/17920) ((1/(1 + Sqrt[z])^(9/4)) (8960 + 20160 Sqrt[z] + 57840 z + 102840 z^(3/2) + 225579 z^2 + 370224 z^(5/2) + 809760 z^3 + 1330560 z^(7/2) + 4435200 z^4 + 4663296 z^(9/2) - 12570624 z^5 - 24330240 z^(11/2) - 10813440 z^6) + (1/(1 - Sqrt[z])^(9/4)) (8960 - 20160 Sqrt[z] + 57840 z - 102840 z^(3/2) + 225579 z^2 - 370224 z^(5/2) + 809760 z^3 - 1330560 z^(7/2) + 4435200 z^4 - 4663296 z^(9/2) - 12570624 z^5 + 24330240 z^(11/2) - 10813440 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