International Journal For Multidisciplinary Research

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Growth of Meromorphic or Entire Functions with Respect to φ-order

Author(s) Mr. Surya Bahadur Subba
Country India
Abstract In this paper, we investigate the comparative growth properties of composite entire or meromorphic functions with their corresponding left or right factors in terms of the φ-order and the hyper φ-order. These growth indicators generalize both the classical order and the logarithmic order, and provide a finer scale to measure the rate of growth of entire and meromorphic functions. Our results establish inequalities connecting the φ-order and hyper φ-order of composite entire or meromorphic functions with that of their components. Some examples are given to show the sharpness of the estimates.
Keywords Entire or Meromorphic Function, Growth, φ-order
Field Mathematics
Published In Volume 7, Issue 5, September-October 2025
Published On 2025-09-02
DOI https://doi.org/10.36948/ijfmr.2025.v07i05.57017
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E-ISSN 2582-2160
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