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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=-23/4, b>=a > For fixed z and a=-23/4, b=11/4





http://functions.wolfram.com/07.23.03.9797.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 11/4, 11/2, -z] == (16 Sqrt[2] (-34960 - 183540 z - 269629 z^2 + 89148 z^3 - 495558 z^4 - 2216656 z^5 - 3755669 z^6 - 3510144 z^7 - 1919328 z^8 - 579072 z^9 - 74880 z^10 + (1/Sqrt[1 + z]) (34960 + 201020 z + 357029 z^2 + 24909 z^3 + 427386 z^4 + 4005350 z^5 + 9727433 z^6 + 12569905 z^7 + 9831576 z^8 + 4697904 z^9 + 1270464 z^10 + 149760 z^11)))/ (48612265 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