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

Volume 10, Issue 8, pp 4474--4484 http://dx.doi.org/10.22436/jnsa.010.08.39

Publication Date: August 29, 2017 Submission Date: June 02, 2016

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Authors

Cheon Seoung Ryoo - Department of Mathematics, Hannam University, Daejeon 306-791, Korea.

Abstract

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.

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ISRP Style

Cheon Seoung Ryoo, A numerical investigation on the structure of the zeros of the degenerate Euler-tangent mixed-type polynomials, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 8, 4474--4484

AMA Style

Ryoo Cheon Seoung, A numerical investigation on the structure of the zeros of the degenerate Euler-tangent mixed-type polynomials. J. Nonlinear Sci. Appl. (2017); 10(8):4474--4484

Chicago/Turabian Style

Ryoo, Cheon Seoung. "A numerical investigation on the structure of the zeros of the degenerate Euler-tangent mixed-type polynomials." Journal of Nonlinear Sciences and Applications, 10, no. 8 (2017): 4474--4484

Keywords

Degenerate Euler polynomials
degenerate tangent polynomials
degenerate Euler-tangent mixed-type polynomials
generalized falling factorials
generalized factorial alternating sums
Stirling numbers of the first kind.

MSC

11B68
11S40
11S80

References

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