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

ISSN : 1226-0657

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Vol.28 No.2

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Sum and Product Theorems relating to Generalized Relative Order (α, β) and Generalized Relative Type (α, β) of 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
2021, v.28 no.2, pp.155-185
https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.2.155
Biswas, Tanmay
Biswas, Chinmay
Saha, Biswajit
Biswas,, T. , Biswas,, C. , & Saha,, B. (2021). Sum and Product Theorems relating to Generalized Relative Order (α, β) and Generalized Relative Type (α, β) of Entire Functions. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 28(2), 155-185, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.2.155

Abstract

Orders and types of entire functions have been actively investigated by many authors. In this paper, we investigate some basic properties in connection with sum and product of generalized relative order (𝛼, 𝛽), generalized relative type (𝛼, 𝛽) and generalized relative weak type (𝛼, 𝛽) of entire functions with respect to another entire function where 𝛼, 𝛽 are continuous non-negative functions on (-∞, +∞).

keywords
entire function, growth, composition, generalized relative order (<tex> ${\alpha}$</tex>, <tex> ${\beta}$</tex>), generalized relative type (<tex> ${\alpha}$</tex>, <tex> ${\beta}$</tex>), generalized relative weak type (<tex> ${\alpha}$</tex>, <tex> ${\beta}$</tex>)

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

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