Resumen: In this paper, we derive new recurrence relations for the following families of polynomials: Nørlund polynomials, generalized Bernoulli polynomials, generalized Euler polynomials, Bernoulli polynomials of the second kind, Buchholz polynomials, generalized Bessel polynomials and generalized Apostol–Euler polynomials. The recurrence relations are derived from a differential equation of first order and a Cauchy integral representation obtained from the generating function of these polynomials. Idioma: Inglés DOI: 10.1080/10236198.2021.1999432 Año: 2021 Publicado en: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 27, 10 (2021), 1512-1523 ISSN: 1023-6198 Factor impacto JCR: 1.352 (2021) Categ. JCR: MATHEMATICS, APPLIED rank: 136 / 267 = 0.509 (2021) - Q3 - T2 Factor impacto CITESCORE: 2.2 - Mathematics (Q2)