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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=21/4





http://functions.wolfram.com/07.23.03.an03.01









  


  








Input Form





Hypergeometric2F1[4, 21/4, -(9/4), z] == (1/(6 (-1 + z)^12)) (2 (3 - 64 z + 884 z^2 - 27008 z^3 - 89480 z^4 + 24574 z^5 + 77518 z^6 + 13538 z^7 + 35 z^8) - 231 Sqrt[1 - z] z^(13/4) (175 + 525 z + 325 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