Vibration-rotation bands of the Delta v=1 sequence of ArH+ are recorded from the emission of a discharge tube with a Fourier spectrometer, between 1800 and 2830 cm(-1). The analysis of the relative line intensities of the four lowest transitions made possible the determination of their Herman-Wallis factors. The derived ratios of first- and second-order coefficients of the dipole moment function to the permanent dipole moment M-0 are equal to M-1/M-0=1.89, and M-2/M-0=0.96. The absolute values of the vibrational transition moments are respectively found, with no need of the ion concentration, equal to 0.194, 0.565, 1.049, and 1.623 debye for the 1-0, 2-1, 3-2, 4-3 transitions, with the assumption of M-0 equal to 1.42 debye as experimentally given by K. B. Laughlin , Phys. Rev. Lett. 58, 996, (1987).