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OALib Journal期刊
ISSN: 2333-9721
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A note on the zeros of twisted q-Euler polynomials with weak weight alpha

Keywords: Euler numbers and polynomials , twisted q-Euler numbers and polynomials

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Abstract:

In this paper weobserve the behavior of complex roots of twisted $q$-Eulernumbers and polynomials $widetilde{E}_{n, q, w }^{(alpha)}(x)$with weak weight $alpha$, using numerical investigation. By meansof numerical experiments, we demonstrate a remarkably regularstructure of the complex roots of twisted $q$-Euler numbers andpolynomials $widetilde{E}_{n, q, w }^{(alpha)}(x)$ with weakweight $alpha$. Finally, we give a table for the solutions oftwisted $q$-Euler numbers and polynomials $widetilde{E}_{n, q, w}^{(alpha)}(x)$ with weak weight $alpha$.

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