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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=17/4





http://functions.wolfram.com/07.23.03.a8tr.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 17/4, 3/2, -z] == (Sqrt[2] (119 (-1 + Sqrt[1 + z]) + 21760 z^6 (-1 + 2 Sqrt[1 + z]) + 320 z^5 (-267 + 500 Sqrt[1 + z]) + z (-4660 + 5693 Sqrt[1 + z]) + 16 z^4 (-8131 + 14102 Sqrt[1 + z]) + 8 z^3 (-11917 + 18858 Sqrt[1 + z]) + z^2 (-33461 + 47290 Sqrt[1 + z])))/(2185 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