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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=-5/4, b>=a > For fixed z and a=-5/4, b=13/4





http://functions.wolfram.com/07.23.03.ag4f.01









  


  








Input Form





Hypergeometric2F1[-(5/4), 13/4, -(9/2), -z] == (1/(2016 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1008 + 5012 z + 9211 z^2 + 6435 z^3 - 975 z^4 - 9919 z^5 - 6708 z^6 - 1456 z^7)/(1 + z)^6 + (1008 + 5516 z + 11591 z^2 + 10477 z^3 + 1365 z^4 + 5707 z^5 + 3536 z^6 + 728 z^7)/(1 + z)^(13/2)))








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