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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=17/4





http://functions.wolfram.com/07.23.03.am38.01









  


  








Input Form





Hypergeometric2F1[3, 17/4, -(21/4), z] == (1/(273 (-1 + z)^13)) (-273 + 4212 z - 31551 z^2 + 156336 z^3 - 606202 z^4 + 2267704 z^5 - 20588654 z^6 - 4929584 z^7 + 19623835 z^8 + 4093012 z^9 + 11165 z^10 - 35112 Sqrt[1 - z] z^(25/4) (319 + 286 z + 39 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