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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=11/4, b>=a > For fixed z and a=11/4, b=21/4





http://functions.wolfram.com/07.23.03.alx3.01









  


  








Input Form





Hypergeometric2F1[11/4, 21/4, -(3/2), -z] == (Sqrt[z] ((2 + 37 z - 4716 z^2 + 7998 z^3 - 1402 z^4 - 75 z^5 - 4 z^6)/ (1 + z)^9 + (2 (1 + 19 z + 3059 z^2 - 7998 z^3 + 3059 z^4 + 19 z^5 + z^6))/(1 + z)^(19/2)))/(4 Sqrt[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