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UNIQUENESS OF P(f) AND [P(f)](k) CONCERNING WEAKLY WEIGHTED SHARING
Molla Basir Ahamed 장전수학회 2022 Advanced Studies in Contemporary Mathematics Vol.32 No.2
In this paper, with the help of the idea of weakly weighted sharing introduced by Lin and Lin [Kodai Math. J. 29(2006), 269-280], we study the uniqueness of polynomial expression P(f) and its derivatives [P(f)](k) of meromorphic functions f sharing a small function. The main results in the paper significantly improved the result of Liu and Gu [Kodai Math. J. 27(3)(2004), 272-279]. This research work finds certain condition under which the polynomial P(f) is reduced to a non-zero monomial and consequently, the class of the function f is characterized. Examples have been exhibited to show that some conditions in the main results simply can not be removed and also some inequalities are sharp.
BRÜCK CONJECTURE AND A LINEAR DIFFERENTIAL POLYNOMIAL
Lahiri, Indrajit,Pal, Bipul Korean Mathematical Society 2018 대한수학회논문집 Vol.33 No.3
In the paper we consider the uniqueness of a meromorphic function and a linear differential polynomial when they share a small function.
MEROMORPHIC FUNCTION PARTIALLY SHARES SMALL FUNCTIONS OR VALUES WITH ITS LINEAR c-SHIFT OPERATOR
Banerjee, Abhijit,Maity, Sayantan Korean Mathematical Society 2021 대한수학회보 Vol.58 No.5
In this paper, we have studied on the uniqueness problems of meromorphic functions with its linear c-shift operator in the light of partial sharing. Our two results improve and generalize two very recent results of Noulorvang-Pham [Bull. Korean Math. Soc. 57 (2020), no. 5, 1083-1094] in some sense. In addition, our other results have improved and generalized a series of results due to Lü-Lü [Comput. Methods Funct. Theo. 17 (2017), no. 3, 395-403], Zhen [J. Contemp. Math. Anal. 54 (2019), no. 5, 296-301] and Banerjee-Bhattacharyya [Adv. Differ. Equ. 509 (2019), 1-23]. We have exhibited a number of examples to show that some conditions used in our results are essential.
Harina P. Waghamore,M. Roopa 한국전산응용수학회 2024 Journal of applied mathematics & informatics Vol.42 No.3
In this paper, we investigate the uniqueness of linear difference differential polynomials sharing a small function. By using the concepts of weakly weighted and relaxed weighted sharing of transcendental entire functions with finite order, we obtained the corresponding results, which improve and extend some results of Chao Meng \cite{meng}.
UNIQUENESS OF CERTAIN TYPES OF DIFFERENCE-DIFFERENTIAL POLYNOMIALS SHARING A SMALL FUNCTION
RAJESHWARI, S.,VENKATESWARLU, B.,KUMAR, S.H. NAVEEN The Korean Society for Computational and Applied M 2021 Journal of applied mathematics & informatics Vol.39 No.5
In this paper, we investigate the uniqueness problems of certain types of difference-differential polynomials of entire functions sharing a small function. The results of the paper improve and generalize the recent results due to Biswajit Saha [18].
김혜정 ( Hye Jeong Kim ),배진한 ( Jin Han Bai ),박창귀 ( Chang Gui Park ) 한국노동경제학회 2017 勞動經濟論集 Vol.40 No.1
이 연구는 1999~2014년의 16년간 19개 제조업 중분류 산업들의 패널 자료를 사용하여 위탁대기업과 협력중소기업 간의 임금격차 확대 영향요인을 분석하고자 하였다. 분석결과에 의하면, 위탁대기업의 노동투입과 협력중소기업 납품생산물 사이의 대체탄력성은 1보다 유의하게 작게 나타났는데, 고용보호 수준이 높은 위탁대기업 근로자들의 임금상승은 총비용에서 차지하는 임금비용점유율을 높이고 협력중소기업 납품생산물의 비용점유율을 감소 시키는 결과를 초래하였다. 이는 결국 납품가격과 협력중소기업 근로자 임금에 음(-)의 영향을 미쳐 위탁대기업과 협력중소기업 간의 임금격차를 더욱 확대하는 결과로 해석될 수 있을 것이다. 또한, 위탁대기업 근로자들의 노동조합 가입 수준과 경제개방도의 상승 역시 이러한 효과를 확대하는 방향으로 작용하였다. 기업규모 간 임금격차 확대 완화와 노동시장 양극화 억제를 위해서는 대기업 수준에서의 유연한 임금체계 도입과 협력중소기업 근로자들과의 현실적인 공동교섭방안, 그리고 협력중소기업 근로자들을 위한 인재양성 및 직업능력개발의 획기적인 사회적 장치 구축노력을 제안하고 있다. This study aimed to analyze influencing factors to increase the wage differential between large enterprise and subcontracted small-medium enterprises by using panel data composed of 19 manufacturing industries for 16 years from 1999 to 2014. According to the results of analysis, in large enterprises the elasticity of substitution between the labor inputs and the subcontracted product supplies from small-medium enterprises was significantly less than 1. So, the increase in wages of workers of large enterprises, whose degree of employment protection was relatively high, seemed to increase the share of wage cost in total cost and was resulted to decrease the cost share of subcontracted product supplies significantly. This was interpreted to be able to exert a negative influence upon the price of subcontracted product supplies and the wages of workers in subcontracted small-medium enterprises, and, therefore, to increase the wage differentials between large enterprises and subcontracted small-medium enterprises. Furthermore, it was also found that the increases in the labor union participation rate at large enterprises and the openness rate of the industry concerned were contributing to make such effects much stronger significantly. In order to mitigate the wage differentials and the polarizing trend in labor market, we can suggest to establish a certain kind of flexible wage system and to introduce co-bargaining practices with the workers of subcontracted small-medium enterprises within large enterprises, and also for the workers of small-medium enterprises, to prepare new social systems to upgrade their human resources and job skills drastically.
Uniqueness of Meromorphic Functions Sharing a Small Function with Their Differential Polynomials
Banerjee, Abhijit Department of Mathematics 2009 Kyungpook mathematical journal Vol.49 No.4
With the aid of weakly weighted sharing and a recently introduced sharing notion in [3] known as relaxed weighted sharing we investigate the uniqueness of meromorphic functions sharing a small function with its differential polynomials. Our results will improve and supplement all the results obtained by Zhang and Yang [17] as well as a substantial part of the results recently obtained by the present author [2] and thus provide a better answer to the questions posed by Yu [14] in this regard.
Small Functions of Meromorphic Functions that Share Three Values GCM
Alzahary, Thamir Chilaap Department of Mathematics 2009 Kyungpook mathematical journal Vol.49 No.1
In this paper, we deal with the problem of uniqueness of meromorphic functions that share three values, and obtain some theorems which improve some results of Brosch, Yi and other authors.
A Further Result Related to a Conjecture of R. Brück
Li, Nan,Yang, Lianzhong,Liu, Kai Department of Mathematics 2016 Kyungpook mathematical journal Vol.56 No.2
In this paper, we investigate the uniqueness problem of a meromorphic function sharing one small function with its differential polynomial, and give a result which is related to a conjecture of R. $Br{\ddot{u}}ck$.
Abhijit Banerjee,Arpita Kundu 대한수학회 2023 대한수학회논문집 Vol.38 No.2
In the paper, we have exhaustively studied about the uniqueness of meromorphic function sharing two small functions with its $k$-th derivative as these types of results have never been studied earlier. We have obtained a series of results which will improve and extend some recent results of Banerjee-Maity \cite{Ban-Maity_Contemp.}.