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Generalized relative order (α,β) based some growth analysis of composite entire 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
2022, v.29 no.2, pp.125-139
https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.2.125
Biswas, Tanmay
Biswas, Chinmay
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Abstract

In this paper we wish to establish some results relating to the growths of composition of two entire 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, growth, composition, generalized relative order (<tex> ${\alpha}$</tex>, <tex> ${\beta}$</tex>), generalized relative lower order (<tex> ${\alpha}$</tex>, <tex> ${\beta}$</tex>)

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