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<p>Abstract</p> <p>Motivated by the work of Ghoussoub and Moradifam, we prove some improved Hardy inequalities on the Heisenberg group <inline-formula><m:math name="1029-242X-2011-38-i75" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:msup> <m:mrow> <m:mi>&#8461;</m:mi> </m:mrow> <m:mrow> <m:mi>n</m:mi> </m:mrow> </m:msup> </m:math> </inline-formula> via Bessel function.</p> <p> <b>Mathematics Subject Classification (2000):</b> </p> <p>Primary 26D10</p>