TY - JOUR AU - Sahoo, P. AU - Biswas, G. PY - 2021/03/04 Y2 - 2024/03/29 TI - A note on the value distribution of $\phi f^2 f^{(k)}-1$ JF - Matematychni Studii JA - Mat. Stud. VL - 55 IS - 1 SE - Articles DO - 10.30970/ms.55.1.64-75 UR - http://matstud.org.ua/ojs/index.php/matstud/article/view/17 SP - 64-75 AB - In this paper, we study the value distribution of the differential polynomial $\varphi f^2f^{(k)}-1$, where $f(z)$ is a transcendental meromorphic function, $\varphi (z)\;( ot\equiv 0)$ is a small function of $f(z)$ and $k\;(\geq 2)$ is a positive integer. We obtain an inequality concerning the Nevanlinna Characteristic function $T(r,f)$ estimated by reduced counting function only. Our result extends the result due to J.F. Xu and H.X. Yi [J. Math. Inequal., 10 (2016), 971-976]. ER -