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We construct, analytically and numerically, the Wigner distribution functionsfor the exact solutions of position-dependent effective mass Schr\"odingerequation for two cases belonging to the generalized Laguerre polynomials. Usinga suitable quantum canonical transformation, expectation values of position andmomentum operators can be obtained analytically in order to verify theuniversality of the Heisenberg's uncertainty principle.

Generalized Laguerre Polynomials with Position-Dependent Effective Mass Visualized via Wigner's Distribution Functions