OICC Press Communications in Nonlinear Analysis 2371-7920 13 1 2025 06 30 On Erdos-Lax Inequality for the Class of Composite Polynomials 16 20 10.57647/cna.2025.qc6k-e772 EN Bashir Ahmad Ganie Department of Mathematics, Sharda University Gr Noida UP, 201310, India Varun Mohan Department of Mathematics, Sharda University Gr Noida UP, 201310, India Khursheed Alam Department of Mathematics, Sharda University Gr Noida UP, 201310, India Journal Article 2025 06 30 Let  $P(z)= \sum_{j=0}^{n}a_{j}{z}^{j}\in \mathcal{P}_{n}$, and $P(z)$ not vanishing in $|z|<1$. Kumar (CRM, 360, 2022, 1081-1085) proved that if $P(z) =\sum_{j=0}^{n}a_{j}{z}^{j}$ such that $P(z) \ne 0$ in $|z|<1$, then$$\max_{z\in T_1}|P^\prime(z)|\leq \frac{n}{2}\left\{1- \frac{|a_{0}|-|a_{n}|}{n(|a_{0}|+|a_{n}|)}\right\} \max_{z\in T_1}|P(z)|$$In this paper, we present a generalization of this inequality by considering a more general class of polynomials $P(Q(z))$ of degree $mn$, with $Q(z)$ being a polynomial of degree $m$. The obtained result, besides yielding some interesting results as corollaries, includes some known results as special cases.