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

ISSN : 1226-0657

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Vol.28 No.4

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A Note on the Integral Representations of Generalized Relative Order (α, β) and Generalized Relative Type (α, β) of Entire and Meromorphic Functions with respect to an Entire Function

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.4, pp.355-376
https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.4.355
Biswas, Tanmay
Biswas, Chinmay
Biswas,, T. , & Biswas,, C. (2021). A Note on the Integral Representations of Generalized Relative Order (α, β) and Generalized Relative Type (α, β) of Entire and Meromorphic Functions with respect to an Entire Function. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 28(4), 355-376, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.4.355

Abstract

In this paper we wish to establish the integral representations of generalized relative order (𝛼, 𝛽) and generalized relative type (𝛼, 𝛽) of entire and meromorphic functions where 𝛼 and 𝛽 are continuous non-negative functions defined on (-∞, +∞). We also investigate their equivalence relation under some certain condition.

keywords
entire functions, meromorphic function, generalized relative order (<tex> ${\alpha}$</tex>, <tex> ${\beta}$</tex>), generalized relative lower 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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