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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=7/4, b>=a > For fixed z and a=7/4, b=21/4





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









  


  










Input Form





Hypergeometric2F1[7/4, 21/4, -(5/2), -z] == (1/(40 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((20 + 261 z + 1895 z^2 + 100214 z^3 - 100214 z^4 - 1895 z^5 - 261 z^6 - 20 z^7)/(1 + z)^(19/2) + (20 + 251 z + 1772 z^2 - 68286 z^3 + 31928 z^4 + 3667 z^5 + 512 z^6 + 40 z^7)/(1 + z)^9))










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