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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=-21/4, b>=a > For fixed z and a=-21/4, b=-19/4





http://functions.wolfram.com/07.23.03.a863.01









  


  








Input Form





Hypergeometric2F1[-(21/4), -(19/4), 3/2, -z] == -((Sqrt[2] (-1 + Sqrt[1 + z] + z (54 - 66 Sqrt[1 + z]) + z^6 (11 + Sqrt[1 + z]) - 22 z^5 (7 + 3 Sqrt[1 + z]) + 99 z^4 (3 + 5 Sqrt[1 + z]) - 132 z^3 (-1 + 7 Sqrt[1 + z]) + 55 z^2 (-5 + 9 Sqrt[1 + z])))/(23 Sqrt[z] Sqrt[1 + z] 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