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  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
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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

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

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, Nabadwip Vidyasagar College)
Biswas, Tanmay, & Biswas, Chinmay. (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. 한국수학교육학회지시리즈B:순수및응용수학, 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>)

한국수학교육학회지시리즈B:순수및응용수학

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