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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=-15/4, b>=a > For fixed z and a=-15/4, b=-5/4





http://functions.wolfram.com/07.23.03.ab7y.01









  


  








Input Form





Hypergeometric2F1[-(15/4), -(5/4), 11/2, -z] == (16 Sqrt[2] (-560 - 7660 z - 53203 z^2 - 278521 z^3 - 1997600 z^4 + 8018098 z^5 - 3133091 z^6 - 17917 z^7 - 874 z^8 + (1/Sqrt[1 + z]) (560 + 7940 z + 56963 z^2 + 304200 z^3 + 2130667 z^4 - 2237312 z^5 - 3407607 z^6 + 741152 z^7 + 37145 z^8 + 1748 z^9)))/ (154040315 z^(9/2) 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