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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=-7/4, b>=a > For fixed z and a=-7/4, b=4





http://functions.wolfram.com/07.23.03.afa5.01









  


  










Input Form





Hypergeometric2F1[-(7/4), 4, -(21/4), z] == (1/(63648 (-1 + z)^8)) (4 (15912 - 106080 z + 285168 z^2 - 373344 z^3 + 200744 z^4 + 14336 z^5 + 143360 z^6 - 424637 z^7 + 365431 z^8 - 142835 z^9 + 21945 z^10) - 231 Sqrt[1 - z] z^(25/4) (-1073 + 1221 z - 555 z^2 + 95 z^3) Beta[z, 3/4, 1/2])










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