Comparative Growth Properties of Entire and Meromorphic Functions concerning Relative (α,β,γ)-order
Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / 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)
Chinmay,
B.
, &
Bablu,
C.
D.
(2025). Comparative Growth Properties of Entire and Meromorphic Functions concerning Relative (α,β,γ)-order, 32(1), 39-52, https://doi.org/10.7468/jksmeb.2025.32.1.39
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