Generalized relative order (α,β) oriented some growth properties of composite entire and meromorphic functions
Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2023, v.30 no.2, pp.139-154
https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.2.139
Tanmay Biswas
Chinmay Biswas
Tanmay,
B.
, &
Chinmay,
B.
(2023). Generalized relative order (α,β) oriented some growth properties of composite entire and meromorphic functions. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 30(2), 139-154, https://doi.org/https://doi.org/10.7468/jksmeb.2023.30.2.139
Abstract
In this paper we wish to prove some results relating to the growth rates of composite entire and meromorphic functions with their corresponding left and right factors on the basis of their generalized relative order (α, β) and generalized relative lower order (α, β), where α and β are continuous non-negative functions defined on (-∞, +∞).
- keywords
-
entire function,
meromorphic function,
growth,
composition,
generalized relative order (<tex> ${\alpha},
\,
{\beta}$</tex>)