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In this paper we solve a differential equation for K -Bessel function. We establish a relationship between Bessel function and K -Bessel function. Finally we evaluate the generating function for K-Bessel function. Mathematics Subject Classification: 33B15, 33C20, 34B30doi:10.12988/nade.2014.3821 fatcat:lkkguyioo5evrm2biruaiawkdm