Kargın, LeventCorcino, Roberto B.2021-02-192021-02-1920161065-24691476-8291https://doi.org/10.1080/10652469.2016.1174701https://hdl.handle.net/20.500.12868/329Corcino, Roberto/0000-0003-1681-1804In this paper we define generalized exponential polynomials by means of the generalization of the Mellin derivative (xD). We give different proofs for some known results and obtain a new recurrence relation and a new operator formula for generalized exponential polynomials. We also define generalized geometric polynomials by means of the generalization of the Mellin derivative (xD) and obtain their basic properties.eninfo:eu-repo/semantics/closedAccessStirling numbersBell numbersexponential numbers and polynomialsgeometricnumbers and polynomialsArticle10.1080/10652469.2016.1174701278620631Q2WOS:000377034600003N/A