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Recently, several authors have studied the Stirling numbers of the secondkind and Bell polynomials. In this paper, we study the extended Stirlingpolynomials of the second kind and the extended Bell polynomials associatedwith the Stirling numbers of the second kind. In addition, we note that theextended Bell polynomials can be expressed in terms of the moments of thePoisson random variable with parameter

Extended stirling polynomials of the second kind and extended Bell polynomials