We investigate the twisted Alexander polynomial of a 2-bridge knot associated
to a Fox coloring. For several families of 2-bridge knots, including but not
limited to, torus knots and genus-one knots, we derive formulae for these
twisted Alexander polynomials. We use these formulae to confirm a conjecture of
Hirasawa and Murasugi for these knots.Comment: 29 pages, 2 figure