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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=3/4, b>=a > For fixed z and a=3/4, b=17/4





http://functions.wolfram.com/07.23.03.aj4r.01









  


  










Input Form





Hypergeometric2F1[3/4, 17/4, -(5/2), -z] == (Sqrt[z] (z^4 (736 - 1393 Sqrt[1 + z]) + z^5 (173 - 336 Sqrt[1 + z]) + z^6 (20 - 40 Sqrt[1 + z]) - 5511 z^3 (-2 + Sqrt[1 + z]) + 20 (1 + Sqrt[1 + z]) + z (173 + 163 Sqrt[1 + z]) + z^2 (736 + 657 Sqrt[1 + z])))/(40 Sqrt[2] (1 + z)^(15/2) 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