International Journal of Nonlinear Analysis and Applications
On the value distribution of the differential polynomial $\phi f^{n}f^{(k)}-1$
Document Type : Research Paper
Authors
1 Adarsh Krishak Inter College, Sihatikar, S.K. Nagar, India
2 Department of Mathematics, University of Kalyani, Kalyani, Nadia, India
Abstract
In the paper, we study the value distribution of the differential polynomial $\phi f^{n} f^{(k)} -1$, where $f(z)$ is a transcendental meromorphic function, $\phi(z) (\not \equiv 0)$ is a small function of $f(z)$ and $n (> 2), k (\geq 1)$ are integers. We prove an inequality which will give an upper bound for the characteristic function $T(r,f)$ in terms of reduced counting function only.
Keywords
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Volume 13, Issue 2
July 2022Pages 2909-2922
- Receive Date: 17 April 2021
- Accept Date: 18 July 2022