Production of excited charm and charm-strange mesons at HERA ZEUS Collaboration Abstract The production of excited charm, D_1(2420)^0 and D_2^{*}(2460)^0, and charm-strange, D_{s1}(2536)+/-, mesons in ep collisions was measured with the ZEUS detector at HERA using an integrated luminosity of 126 pb^-1. Masses, widths and helicity parameters were determined. The measured yields were converted to the rates of c quarks hadronising as a given excited charm meson and to the ratios of the dominant D_2^{*}(2460)^0 and D_{s1}(2536)^\pm branching fractions. A search for the radially excited charm meson, D^*(2640)+/-, was also performed. The results are compared with those measured previously and with theoretical expectations.