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Öğe Generalization of Mellin derivative and its applications(Taylor & Francis Ltd, 2016) Kargın, Levent; Corcino, Roberto B.In 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.