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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

Comparative Growth Properties of Entire and Meromorphic Functions concerning Relative (α,β,γ)-order

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2025, v.32 no.1, pp.39-52
https://doi.org/10.7468/jksmeb.2025.32.1.39
Chinmay Biswas (Nabadwip Vidyasagar College)
Bablu Chandra Das (Nabadwip Vidyasagar College)

Abstract

Belaïdi et al. [3] have introduced the idea (α,β,γ)-order and (α,β,γ)-lower order of meromorphic function, where α∈L₁-class, β∈L₂-class, γ∈L₃-class. In order to make some progresses in the study of growth analysis of meromorphic functions, here in this paper, we have discussed on the relative (α,β,γ)-order and relative (α,β,γ)-lower order of a meromorphic function with respect to an entire function. Then we have investigated some basic properties of meromorphic functions using these definitions under somewhat different conditions.

keywords
meromorphic function, growth, relative (α, β, γ)-order, relative (α, β, γ)-lower order

한국수학교육학회지시리즈B:순수및응용수학