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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=-19/4, b>=a > For fixed z and a=-19/4, b=19/4





http://functions.wolfram.com/07.23.03.a9st.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 19/4, 3/2, -z] == (1/(357 Sqrt[z] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[2] (-19 - 761 z - 5080 z^2 - 12208 z^3 - 12224 z^4 - 4352 z^5 + (19 + 949 z + 8210 z^2 + 27216 z^3 + 42208 z^4 + 30976 z^5 + 8704 z^6)/ 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