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Recently, many mathematicians have studied different kinds of the Euler, Bernoulli, and Genocchi polynomials. In this paper, we give another definition of the polynomials U˜n(α)(x). We find some theorems and identities related to polynomials U˜n(α)(x) containing the central factorial numbers and Stirling numbers. We also derive interesting relations between the polynomials U˜n(α)(x) and the Euler polynomials and the Genocchi polynomials.

A research on the new polynomials involved with the central factorial numbers, Stirling numbers and others polynomials