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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=15/4





http://functions.wolfram.com/07.23.03.a9oz.01









  


  










Input Form





Hypergeometric2F1[-(19/4), 15/4, 1/2, -z] == (1/(17 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] (-2 (67 + 716 z + 2152 z^2 + 2464 z^3 + 960 z^4) + (151 + 2111 z + 8824 z^2 + 15760 z^3 + 12736 z^4 + 3840 z^5)/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