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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=6





http://functions.wolfram.com/07.23.03.afi1.01









  


  










Input Form





Hypergeometric2F1[-(7/4), 6, -(17/4), z] == (1/(2715648 (-1 + z)^9)) (4 (-1 + z) (678912 - 3753984 z + 6945792 z^2 - 2293760 z^3 - 4358144 z^4 - 31195136 z^5 + 85520729 z^6 - 97843420 z^7 + 60332030 z^8 - 19785612 z^9 + 2725569 z^10) - 231 Sqrt[1 - z] z^(21/4) (-219965 + 483923 z - 500610 z^2 + 288230 z^3 - 89585 z^4 + 11799 z^5) 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