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





http://functions.wolfram.com/07.23.03.am5e.01









  


  








Input Form





Hypergeometric2F1[3, 21/4, -(21/4), z] == (1/(663 (-1 + z)^14)) (663 - 11271 z + 94029 z^2 - 525981 z^3 + 2344134 z^4 - 10341030 z^5 + 115731322 z^6 + 70444198 z^7 - 133099373 z^8 - 44355971 z^9 - 288695 z^10 + 7975 z^11 + 70224 Sqrt[1 - z] z^(25/4) (957 + 1122 z + 221 z^2) 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