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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=-13/4





http://functions.wolfram.com/07.23.03.9175.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(13/4), 9/2, -z] == (8 Sqrt[2] (-2 (20 + 502 z + 7960 z^2 + 182301 z^3 - 2525874 z^4 + 5628623 z^5 - 3380884 z^6 + 476323 z^7 + 954 z^8 + 27 z^9) + (1/Sqrt[1 + z]) (40 + 1024 z + 16417 z^2 + 372439 z^3 - 3178383 z^4 + 2291003 z^5 + 3490071 z^6 - 2187659 z^7 + 152451 z^8 + 3897 z^9 + 108 z^10)))/(27087885 z^(7/2) 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