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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=2, b>=a > For fixed z and a=2, b=17/4





http://functions.wolfram.com/07.23.03.aky6.01









  


  








Input Form





Hypergeometric2F1[2, 17/4, -(1/4), z] == (-13 + 533 z + 770 z^2 - 1234 z^3 - 61 z^4 + 5 z^5 + 42 Sqrt[1 - z] z^(5/4) (9 + 13 z) Beta[z, 3/4, 1/2])/(13 (-1 + z)^7)








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