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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=4, b>=a > For fixed z and a=4, b=17/4





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









  


  










Input Form





Hypergeometric2F1[4, 17/4, -(9/4), z] == (1/(36 (-1 + z)^11)) (-4 (9 - 167 z + 1957 z^2 - 48779 z^3 - 111950 z^4 + 71962 z^5 + 79744 z^6 + 7224 z^7) + 231 Sqrt[1 - z] z^(13/4) (595 + 1365 z + 585 z^2 + 39 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