Inequalities for the generalized polar derivative of a polynomial | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 14، دوره 16، شماره 6، شهریور 2025، صفحه 153-159 اصل مقاله (369.61 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.24504.2759 | ||
| نویسندگان | ||
| Nisar Ahmad Rather1؛ Naseer Wani1؛ Tanveer Bhat1؛ Ishfaq Dar* 2 | ||
| 1Department of Mathematics, University of Kashmir, Srinagar-190006, India | ||
| 2Department of Applied Sciences, Institute of Technology, University of Kashmir, Srinagar-190006, India | ||
| چکیده | ||
| Recently Rather et al. [18] considered the generalized polar derivative and studied the relative position of zeros of the generalized polar derivative with respect to the zeros of the polynomial. In this paper, by taking into account the size of the constant term and the leading coefficient of the polynomial $P(z)$, we obtain some lower bound estimates for the generalized polar derivative of certain polynomials, which refine and generalize various results due to Aziz and Rather, Malik, Tur'{a}n, Dubinin, Govil and others. | ||
| کلیدواژهها | ||
| Polynomials؛ Generalized polar derivative؛ Gauss Lucas Theorem؛ Inequalities in the complex domain | ||
| مراجع | ||
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