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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=39/8





http://functions.wolfram.com/07.23.03.bm2b.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 39/8, 11/2, z] == (1/(3635269715 z^(9/2))) (512 ((1 + Sqrt[z])^(13/4) (116480 - 378560 Sqrt[z] + 893360 z - 1696760 z^(3/2) + 2963519 z^2 - 4750928 z^(5/2) + 7504224 z^3 - 11356800 z^(7/2) + 19219200 z^4 - 28317696 z^(9/2) + 22843392 z^5 - 7028736 z^(11/2)) - (1 - Sqrt[z])^(13/4) (116480 + 378560 Sqrt[z] + 893360 z + 1696760 z^(3/2) + 2963519 z^2 + 4750928 z^(5/2) + 7504224 z^3 + 11356800 z^(7/2) + 19219200 z^4 + 28317696 z^(9/2) + 22843392 z^5 + 7028736 z^(11/2))))








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