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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=-23/4, b>=a > For fixed z and a=-23/4, b=-13/4





http://functions.wolfram.com/07.23.03.9171.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(13/4), 7/2, -z] == (4 Sqrt[2] (-4 - 127 z - 4372 z^2 + 79391 z^3 - 219934 z^4 + 158015 z^5 - 25896 z^6 - 63 z^7 - 2 z^8 + (1/Sqrt[1 + z]) (4 + 129 z + 4435 z^2 - 53495 z^3 + 61919 z^4 + 61919 z^5 - 53495 z^6 + 4435 z^7 + 129 z^8 + 4 z^9)))/(189805 z^(5/2) Sqrt[-1 + Sqrt[1 + z]])








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