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