The moment constant summability method with specialized weight is considered in this work. The method is applied to a calculation of some vibrational-rotational energy levels of two-atomic hydrogen molecule. Earlier, it was tested on model problems only. Some energy levels were received by Pade, Pade-Borel, Pade-Hermit methods and ab initio for a comparison. The calculations were made for the ground state and first ten excited vibrational states.
divergent series, perturbation theory, moment constant summability method, hydrogen molecule