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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=17/4, b>=a > For fixed z and a=17/4, b=19/4





http://functions.wolfram.com/07.23.03.an42.01









  


  










Input Form





Hypergeometric2F1[17/4, 19/4, -(7/2), -z] == (1/(560 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^12) (4 (70 + 1235 z + 11751 z^2 + 92730 z^3 - 7419764 z^4 + 13626159 z^5 - 5156825 z^6 + 340644 z^7)) + (1/(1 + z)^(25/2)) (280 + 5080 z + 49439 z^2 + 393822 z^3 + 39374621 z^4 - 104387348 z^5 + 61229065 z^6 - 8240514 z^7 + 121923 z^8)))










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