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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=-13/4, b>=a > For fixed z and a=-13/4, b=13/4





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









  


  








Input Form





Hypergeometric2F1[-(13/4), 13/4, -(7/2), -z] == -((Sqrt[z] (-280 (1 + Sqrt[1 + z]) + 20 z (-5 + 2 Sqrt[1 + z]) + 2464 z^6 (-1 + 2 Sqrt[1 + z]) + z^2 (118 + 63 Sqrt[1 + z]) - 3 z^3 (76 + 79 Sqrt[1 + z]) + 112 z^5 (-58 + 105 Sqrt[1 + z]) + 14 z^4 (-337 + 508 Sqrt[1 + z])))/(560 Sqrt[2] (1 + z)^(7/2) 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