2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/221665We present linear forms with integer coefficients containing the Euler-Mascheroni and Euler-Gompertz constants. The forms are defined by four-terms recurrence relations. Asymptotics of the forms and their coefficients are obtained.6 pages, second version -> some comments are added -> concerning implication of the fact - that one of two Euler-Mascheroni or Euler-Gompertz constants is an irratational number - from the Shidlovski theorem on algebraic independence of values of E-functions. This implication was indicated to the author by Yu. Nesterenko and T. RivoalNumber TheoryClassical Analysis and ODEstext