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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.alwr.01









  


  








Input Form





Hypergeometric2F1[11/4, 21/4, -(9/2), -z] == (1/(96 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^12) (48 + 724 z + 5443 z^2 + 28626 z^3 + 135421 z^4 - 4924868 z^5 + 4373741 z^6 - 449790 z^7 - 15805 z^8 - 580 z^9) + (1/(1 + z)^(25/2)) (48 + 748 z + 5799 z^2 + 31260 z^3 + 149097 z^4 + 7109622 z^5 - 10304263 z^6 + 2406208 z^7 + 7975 z^8 + 290 z^9)))








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