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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=-17/4, b>=a > For fixed z and a=-17/4, b=-15/4





http://functions.wolfram.com/07.23.03.aa80.01









  


  








Input Form





Hypergeometric2F1[-(17/4), -(15/4), -(5/2), -z] == (1/(8 Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z/(2 + 2 z)] (4 (1 + Sqrt[1 + z]) + z (27 + 25 Sqrt[1 + z]) + z^2 (85 + 73 Sqrt[1 + z]) - z^4 (293 + 77 Sqrt[1 + z]) + z^3 (-231 + 647 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