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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=-19/4, b>=a > For fixed z and a=-19/4, b=3/4





http://functions.wolfram.com/07.23.03.a9ep.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 3/4, 9/2, -z] == (8 Sqrt[2] (-760 - 6992 z - 30001 z^2 - 94544 z^3 - 37158 z^4 - 24772 z^5 - 11017 z^6 - 2884 z^7 - 336 z^8 + (1/Sqrt[1 + z]) (2 (380 + 3686 z + 16701 z^2 + 54359 z^3 + 73590 z^4 + 55132 z^5 + 32865 z^6 + 13159 z^7 + 3136 z^8 + 336 z^9))))/ (1057485 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