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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=-19/4, b>=a > For fixed z and a=-19/4, b=4





http://functions.wolfram.com/07.23.03.a9pr.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 4, -(21/4), z] == (1/(3564288 (-1 + z)^5)) (4 (-891072 + 1230528 z + 99840 z^2 + 192000 z^3 + 463360 z^4 + 1716736 z^5 + 26430976 z^6 - 125589069 z^7 + 187804683 z^8 - 119622195 z^9 + 28164213 z^10) - 4389 Sqrt[1 - z] z^(25/4) (-11803 + 28083 z - 22977 z^2 + 6417 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