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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=5, b>=a > For fixed z and a=5, b=21/4





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









  


  








Input Form





Hypergeometric2F1[5, 21/4, 3/4, z] == (1/(256 (-1 + z)^10)) (4 (64 + 1495 z + 3082 z^2 - 1916 z^3 - 2474 z^4 - 251 z^5) + 21 Sqrt[1 - z] z^(1/4) (15 + 204 z + 442 z^2 + 204 z^3 + 15 z^4) 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