• Title/Summary/Keyword: Generalized relative order

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GENERALIZED RELATIVE ORDER (α, β) BASED SOME GROWTH ANALYSIS OF COMPOSITE ENTIRE FUNCTIONS

  • Biswas, Tanmay;Biswas, Chinmay
    • The Pure and Applied Mathematics
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    • v.29 no.2
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    • pp.125-139
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    • 2022
  • 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 (-∞, +∞).

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

  • Biswas, Tanmay;Biswas, Chinmay
    • The Pure and Applied Mathematics
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    • v.28 no.4
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    • pp.355-376
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    • 2021
  • 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.

SUM AND PRODUCT THEOREMS RELATING TO GENERALIZED RELATIVE ORDER (𝛼, 𝛽) AND GENERALIZED RELATIVE TYPE (𝛼, 𝛽) OF ENTIRE FUNCTIONS

  • Biswas, Tanmay;Biswas, Chinmay;Saha, Biswajit
    • The Pure and Applied Mathematics
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    • v.28 no.2
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    • pp.155-185
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    • 2021
  • 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 (-∞, +∞).

GENERALIZED RELATIVE ORDER (α, β) ORIENTED SOME GROWTH PROPERTIES OF COMPOSITE ENTIRE AND MEROMORPHIC FUNCTIONS

  • Tanmay Biswas ;Chinmay Biswas
    • The Pure and Applied Mathematics
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    • v.30 no.2
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    • pp.139-154
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    • 2023
  • In this paper we wish to prove some results relating to the growth rates of composite entire and meromorphic 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 (-∞, +∞).

SOME REMARKS ON THE GROWTH OF COMPOSITE p-ADIC ENTIRE FUNCTION

  • Biswas, Tanmay;Biswas, Chinmay
    • Korean Journal of Mathematics
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    • v.29 no.4
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    • pp.715-723
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    • 2021
  • In this paper we wish to introduce the concept of generalized relative index-pair (𝛼, 𝛽) of a p-adic entire function with respect to another p-adic entire function and then prove some results relating to the growth rates of composition of two p-adic entire functions with their corresponding left and right factors.

Antecedent of Foreign Direct Investment (FDI): Focusing on the Moderating Effect of Absolute Corruption and Relative Corruption (해외직접투자(FDI)의 결정요인 분석: 절대적 부패 수준과 상대적 부패 수준의 조절 효과를 중심으로)

  • Do-Eui Kim
    • Korea Trade Review
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    • v.46 no.2
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    • pp.337-354
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    • 2021
  • Several previous studies have not been able to derive consistent research results on the impact of the level of corruption in local countries on foreign direct investment. Therefore, in order to suggest that this study should consider the relative level of corruption rather than the level of absolute corruption, 1) first, examine the moderating effect of the absolute level of corruption on the determinants of foreign direct investment, and 2) examine the moderating effect of the relative corruption on the determinants of foreign direct investment. This study collected 9-year data from 2012 to 2020 based on the Corruption Perceptions Index (CPI) published by Transparency International. A total of 549 observations (country-year) from 82 countries were sampled and a generalized estimation equation (GEE) analysis was performed. As a result of empirical analysis, it was found that the moderating effect of absolute corruption did not appear, whereas the moderating effect of relative corruption reversed the negative (-) relationship between cultural distance and foreign direct investment into a positive (+) relationship. Based on these empirical results, this study suggest that Korean companies need to consider the relative level of corruption with Korea instead of the absolute level of corruption of the investee when conducting foreign direct investment.

Generalized runge-kutta methods for dynamical systems

  • Yu, Dong-Won
    • Bulletin of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.157-172
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    • 1998
  • A numerical method is proposed for dynamical systems. We utilize the fact that special matrix exponentials can be exactly evaluated by the intrinsic library functions. Numerical examples are given, which show that the relative error s of the proposed method converge to a small constant and that the method faithfully approximates the dynamics of the nonlinear differential equations.

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