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Explicit Formulas Associated with Some Families of Generalized Bernoulli and Euler Polynomials

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In this paper, we propose and derive several new explicit formulas of the generalized Bernoulli and Euler polynomials in terms of the generalized Stirling numbers of the second kind. A… Click to show full abstract

In this paper, we propose and derive several new explicit formulas of the generalized Bernoulli and Euler polynomials in terms of the generalized Stirling numbers of the second kind. A study of some families of the modified generalized Euler polynomials yields an interesting algorithm for calculating the generalized Euler polynomials.

Keywords: associated families; bernoulli euler; formulas associated; euler polynomials; generalized bernoulli; explicit formulas

Journal Title: Mediterranean Journal of Mathematics
Year Published: 2017

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