000123940 001__ 123940 000123940 005__ 20230519145543.0 000123940 0247_ $$2doi$$a10.1080/10236198.2021.1999432 000123940 0248_ $$2sideral$$a126936 000123940 037__ $$aART-2021-126936 000123940 041__ $$aeng 000123940 100__ $$0(orcid)0000-0002-3698-6719$$aFerreira, Chelo$$uUniversidad de Zaragoza 000123940 245__ $$aNew recurrence relations for several classical families of polynomials 000123940 260__ $$c2021 000123940 5060_ $$aAccess copy available to the general public$$fUnrestricted 000123940 5203_ $$aIn 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. 000123940 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/MTM2017-83490-P 000123940 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000123940 590__ $$a1.352$$b2021 000123940 591__ $$aMATHEMATICS, APPLIED$$b136 / 267 = 0.509$$c2021$$dQ3$$eT2 000123940 592__ $$a0.46$$b2021 000123940 593__ $$aAnalysis$$c2021$$dQ3 000123940 593__ $$aAlgebra and Number Theory$$c2021$$dQ3 000123940 594__ $$a2.2$$b2021 000123940 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000123940 700__ $$aLópez, José 000123940 700__ $$0(orcid)0000-0002-8021-2745$$aPérez Sinusía, Ester$$uUniversidad de Zaragoza 000123940 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000123940 773__ $$g27, 10 (2021), 1512-1523$$pJ. diff. equ. appl.$$tJOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS$$x1023-6198 000123940 8564_ $$s469697$$uhttps://zaguan.unizar.es/record/123940/files/texto_completo.pdf$$yPostprint 000123940 8564_ $$s1496862$$uhttps://zaguan.unizar.es/record/123940/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000123940 909CO $$ooai:zaguan.unizar.es:123940$$particulos$$pdriver 000123940 951__ $$a2023-05-18-15:42:00 000123940 980__ $$aARTICLE