Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682213120220301On the location of zeros of generalized derivative179184546910.22075/ijnaa.2021.22496.2382ENIrfan AhmadWaniDepartment of Mathematics, University of Kashmir, South Campus, Anantnag-192101, Jammu and Kashmir, India0000-0003-1036-0512Mohammad IbrahimMirDepartment of Mathematics, University of Kashmir, South Campus, Anantnag-192101, Jammu and Kashmir, IndiaIshfaq NazirDepartment of Mathematics, University of Kashmir, South Campus, Anantnag-192101, Jammu and Kashmir, IndiaJournal Article20210203Let $P(z) =\displaystyle \prod_{v=1}^n (z-z_v),$ 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 .https://ijnaa.semnan.ac.ir/article_5469_c0d5c598e88d64fc2d4a7ca2b1ac5a5c.pdf