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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=9/4, b>=a > For fixed z and a=9/4, b=19/4





http://functions.wolfram.com/07.23.03.alc9.01









  


  








Input Form





Hypergeometric2F1[9/4, 19/4, -(9/2), -z] == (1/(1120 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^11) (560 + 7420 z + 48075 z^2 + 212457 z^3 + 816200 z^4 - 19324098 z^5 + 10073003 z^6 - 58995 z^7 - 2622 z^8) + (1/(1 + z)^(23/2)) (560 + 7700 z + 51715 z^2 + 235602 z^3 + 916861 z^4 + 29635388 z^5 - 28637779 z^6 + 2766210 z^7 + 121923 z^8 + 5244 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