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Identities for Apostol-type Frobenius–Euler polynomials resulting from the study of a nonlinear operator

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Abstract

We introduce a special nonlinear differential operator and, using its properties, reduce higher-order Frobenius–Euler Apostol-type polynomials to a finite series of first-order Apostol-type Frobenius–Euler polynomials and Stirling numbers. Interesting identities are established.

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Correspondence to A. Bayad or T. Kim.

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Bayad, A., Kim, T. Identities for Apostol-type Frobenius–Euler polynomials resulting from the study of a nonlinear operator. Russ. J. Math. Phys. 23, 164–171 (2016). https://doi.org/10.1134/S1061920816020023

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  • DOI: https://doi.org/10.1134/S1061920816020023

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