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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=-23/4, b>=a > For fixed z and a=-23/4, b=7/4





http://functions.wolfram.com/07.23.03.9644.01









  


  










Input Form





Hypergeometric2F1[-(23/4), 7/4, -(1/2), -z] == (1/(442 Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z/(2 + 2 z)] (-128128 z^6 + 221 (1 + Sqrt[1 + z]) + 4928 z^5 (-114 + 13 Sqrt[1 + z]) + 112 z^4 (-8608 + 2079 Sqrt[1 + z]) + 56 z^3 (-14326 + 5561 Sqrt[1 + z]) + z (-46426 + 37586 Sqrt[1 + z]) + 3 z^2 (-106157 + 60039 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