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Some extensions of the Enestrom-Kakeya theorem for quaternionic polynomials | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 21 آبان 1404 اصل مقاله (338.75 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.35090.5240 | ||
| نویسندگان | ||
| Abdul Liman* ؛ Urba Akhter | ||
| Department of Mathematics, National Institute of Technology, Hazratbal Srinagar-190006, Jammu and Kashmir, India | ||
| تاریخ دریافت: 31 مرداد 1403، تاریخ بازنگری: 08 شهریور 1403، تاریخ پذیرش: 29 آبان 1403 | ||
| چکیده | ||
| In this paper, we are interested in finding regions of some quaternionic polynomials with restricted coefficients. We relax the hypothesis and put less restrictive conditions on the coefficients of the quaternionic polynomial, and thereby generalize some known results by virtue of a maximum modulus theorem. The obtained results for the class of quaternionic polynomials generalize some recently proved results about the distribution of zeros of polynomials. | ||
| کلیدواژهها | ||
| Quaternionic polynomial؛ Maximum-Modulus Theorem؛ Enestrom-Kakeya theorem | ||
| مراجع | ||
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