Boole polynomials play an important role in the area of number theory, algebra and umbral calculus. In this paper, we investigate some properties of Boole polynomials and consider Witt-type formulas for the Boole numbers and polynomials. Finally, we derive some new identities of those polynomials from the Witt-type formulas which are related to Euler polynomials.
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Kim et al. (2014) studied this question.
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