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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

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

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>)

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics