Refined Growth Estimates for Composite Meromorphic and Entire Functions Using φ-order Framework
Year: 2025
Type: article
Abstract: This work investigates the growth behaviour of composite meromorphic and entire functions through the concepts of φ-order and hyper φ-order, which offer a finer scale than the traditional and logarithmic orders. We derive inequalities that connect the growth of a composite function with that of its constituent functions. These findings provide a deeper insight into intermediate growth rates and present a practical framework for studying the composition of meromorphic and entire functions.
Author: Surya Subba
Institution: Bangabasi Evening College
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W7089430848
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