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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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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

Sum and Product Theorems relating to Generalized Relative Order (α, β) and Generalized Relative Type (α, β) of Entire Functions

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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 (Department of Mathematics, Nabadwip Vidyasagar College)
Saha, Biswajit (Department of Mathematics, Government General Degree College Muragachha)
Biswas, Tanmay, Biswas, Chinmay, & Saha, Biswajit. (2021). SUM AND PRODUCT THEOREMS RELATING TO GENERALIZED RELATIVE ORDER (𝛼, 𝛽) AND GENERALIZED RELATIVE TYPE (𝛼, 𝛽) OF ENTIRE FUNCTIONS, 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>)

한국수학교육학회지시리즈B:순수및응용수학

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