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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 4 and fixed z > For fixed z and a=-21/4, b>=a > For fixed z and a=-21/4, b=-3/4





http://functions.wolfram.com/07.23.03.a8f5.01









  


  










Input Form





Hypergeometric2F1[-(21/4), -(3/4), 7/2, -z] == (4 Sqrt[2] (-204 - 3451 z - 52445 z^2 + 326734 z^3 - 120990 z^4 - 22791 z^5 - 5449 z^6 - 940 z^7 - 80 z^8 + (1/Sqrt[1 + z]) (204 + 3553 z + 54145 z^2 - 133286 z^3 - 174458 z^4 + 12021 z^5 + 2837 z^6 + 480 z^7 + 40 z^8)))/(1341153 z^(5/2) Sqrt[-1 + Sqrt[1 + z]])










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