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Bibliographic Details
Main Authors: Roy, Soumon, Saha, Sudip, Sinha, Ritam
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2501.14839
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Table of Contents:
  • Let $\mathfrak{f}$ be a transcendental entire function with hyper-order less than one. The aim of this note is to study the value distribution of the differential-difference monomials $α\mathfrak{f}(z)^{q_0}(\mathfrak{f}(z+c))^{q_1}$, where $c$ is a non-zero complex number and $q_0\geq2,$ $q_1\geq 1$ are non-negative integers, and $ α(z)$ $(\not\equiv 0,\infty)$ be a small function of $\mathfrak{f}$.