@article {
author = {Wani, Irfan and Mir, Mohammad and Nazir, Ishfaq},
title = {On the location of zeros of generalized derivative},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {13},
number = {1},
pages = {179-184},
year = {2022},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2021.22496.2382},
abstract = {Let $P(z) =\displaystyle \prod_{v=1}^n (z-z_v),$ be a monic polynomial of degree $n$, then, $G_\gamma[P(z)] = \displaystyle \sum_{k=1}^n \gamma_k \prod_{{v=1},{v \neq k}}^n (z-z_v),$ where $\gamma= (\gamma_1,\gamma_2,\dots,\gamma_n)$ is a n-tuple of positive real numbers with $\sum_{k=1}^n \gamma_k = n$, be its generalized derivative. The classical Gauss-Lucas Theorem on the location of critical points have been extended to the class of generalized derivative\cite{g}. In this paper, we extend the Specht Theorem and the results proved by A.Aziz \cite{1} on the location of critical points to the class of generalized derivative .},
keywords = {Polynomial,Zeros,critical points and generalized derivative},
url = {https://ijnaa.semnan.ac.ir/article_5469.html},
eprint = {https://ijnaa.semnan.ac.ir/article_5469_c0d5c598e88d64fc2d4a7ca2b1ac5a5c.pdf}
}