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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=19/4





http://functions.wolfram.com/07.23.03.a7ra.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 19/4, 9/2, -z] == (8 Sqrt[2] (-2 (-1748 + 7866 z - 48944 z^2 + 779171 z^3 + 8702370 z^4 + 28722705 z^5 + 45970704 z^6 + 39538512 z^7 + 17651712 z^8 + 3224832 z^9) + (1/Sqrt[1 + z]) (-3496 + 13984 z - 89585 z^2 + 1507213 z^3 + 25533569 z^4 + 113224551 z^5 + 244872828 z^6 + 298488528 z^7 + 210302976 z^8 + 80281344 z^9 + 12899328 z^10)))/ (117380835 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