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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.a7qd.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 19/4, -(7/2), z] == (1/1120) ((1/(1 - Sqrt[z])^(5/2)) (560 - 1400 Sqrt[z] + 5420 z - 11100 z^(3/2) + 32043 z^2 - 61050 z^(5/2) + 178860 z^3 - 343200 z^(7/2) + 1681680 z^4 + 1194336 z^(9/2) - 18120960 z^5 + 20367360 z^(11/2) + 14426880 z^6 - 32248320 z^(13/2) + 12899328 z^7) + (1/(1 + Sqrt[z])^(5/2)) (560 + 1400 Sqrt[z] + 5420 z + 11100 z^(3/2) + 32043 z^2 + 61050 z^(5/2) + 178860 z^3 + 343200 z^(7/2) + 1681680 z^4 - 1194336 z^(9/2) - 18120960 z^5 - 20367360 z^(11/2) + 14426880 z^6 + 32248320 z^(13/2) + 12899328 z^7))








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