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We calculate the corrections of orders alpha^3, alpha^4 and alpha^5 to theLamb shift of the 1S and 2S energy levels of muonic hydrogen (mu p) and muonicdeuterium (mu d). The nuclear structure effects are taken into account in termsof the proton r_p and deuteron r_d charge radii for the one-photon interactionand by means of the proton and deuteron electromagnetic form factors in thecase of one-loop amplitudes. The obtained numerical value of the isotope shift(mu d) - (mu p) for the splitting (1S-2S) 101003.3495 meV can be considered asa reliable estimation for corresponding experiment with the accuracy 10^{-6}.The fine structure interval E(1S)-8E(2S) in muonic hydrogen and muonicdeuterium are calculated.Comment: 22 pages, 7 figure

Theory of the muonic hydrogen-muonic deuterium isotope shift