International Journal For Multidisciplinary Research

E-ISSN: 2582-2160   •   Impact Factor: 9.24

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Refined Growth Estimates for Composite Meromorphic and Entire Functions Using φ-order Framework

Author(s) Mr. Surya Bahadur Subba
Country India
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.
Keywords Meromorphic Function, Growth, Order Zero Functions, φ-order.
Field Mathematics
Published In Volume 7, Issue 5, September-October 2025
Published On 2025-09-16
DOI https://doi.org/10.36948/ijfmr.2025.v07i05.57205
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E-ISSN 2582-2160
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