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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=11/4, b>=a > For fixed z and a=11/4, b=13/4





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









  


  










Input Form





Hypergeometric2F1[11/4, 13/4, -(9/2), -z] == (Sqrt[z] (z^5 (25242962 - 15860498 Sqrt[1 + z]) + z^7 (2123887 - 224315 Sqrt[1 + z]) + 1008 (1 + Sqrt[1 + z]) + 28 z (445 + 427 Sqrt[1 + z]) + 42 z^4 (23639 + 20687 Sqrt[1 + z]) + z^2 (74335 + 68483 Sqrt[1 + z]) + z^3 (296483 + 263673 Sqrt[1 + z]) + z^6 (-20689925 + 6901239 Sqrt[1 + z])))/(2016 Sqrt[2] (1 + z)^(21/2) 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