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In this paper, we obtain a general symmetric identity involving the degenerate Euler-tangent mixed-type polynomials and sums of generalized falling factorials. We use this identity to describe some combinatorial relations between these polynomials and generalized factorial alternating sums. Finally, we observe an interesting phenomenon of ”scattering” of the zeros of degenerate Euler-tangent mixed-type polynomials. c ©2017 All rights reserved.

A numerical investigation on the structure of the zeros of the degenerate Euler-tangent mixed-type polynomials