The problem of determining the zeros of regular polynomials of a quaternionic variable with quaternionic coefficients is addressed in this study. We derive new bounds of the Enestrom-Kakeya type for the zeros of these polynomials by virtue of a maximum modulus theorem and the structure of the zero sets in the newly developed theory of regular functions and polynomials of a quaternionic variable. Our findings generalise several newly proven conclusions concerning the distribution of zeros of a quaternionic polynomial.
Malik, A. Hussain. (2023). Bounds for the zeros of a quaternionic polynomial with restricted coefficients. International Journal of Nonlinear Analysis and Applications, 14(1), 1809–1816. https://doi.org/10.22075/ijnaa.2022.26707.3393
MLA
Malik, A. Hussain. "Bounds for the zeros of a quaternionic polynomial with restricted coefficients", International Journal of Nonlinear Analysis and Applications, 14, 1, 2023, 1809–1816. doi: 10.22075/ijnaa.2022.26707.3393
HARVARD
Malik, A. Hussain. (2023). 'Bounds for the zeros of a quaternionic polynomial with restricted coefficients', International Journal of Nonlinear Analysis and Applications, 14(1), pp. 1809–1816. doi: 10.22075/ijnaa.2022.26707.3393
CHICAGO
Malik, A. Hussain, "Bounds for the zeros of a quaternionic polynomial with restricted coefficients." International Journal of Nonlinear Analysis and Applications, 14 1 (2023): 1809–1816, doi: 10.22075/ijnaa.2022.26707.3393
VANCOUVER
Malik A. Hussain. Bounds for the zeros of a quaternionic polynomial with restricted coefficients. IJNAA. 2023;14(1):1809–1816. doi: 10.22075/ijnaa.2022.26707.3393
International Journal of Nonlinear Analysis and Applications