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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=7/8





http://functions.wolfram.com/07.23.03.blg1.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 7/8, -(11/2), z] == (1/270336) ((1/(1 - Sqrt[z])^(15/4)) (135168 - 506880 Sqrt[z] + 753408 z - 618240 z^(3/2) + 386400 z^2 - 237636 z^(5/2) + 134435 z^3 - 67896 z^(7/2) + 27600 z^4 - 7360 z^(9/2)) + (1/(1 + Sqrt[z])^(15/4)) (135168 + 506880 Sqrt[z] + 753408 z + 618240 z^(3/2) + 386400 z^2 + 237636 z^(5/2) + 134435 z^3 + 67896 z^(7/2) + 27600 z^4 + 7360 z^(9/2)))








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