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WEIGHTED SHARING AND UNIQUENESS OF ENTIRE OR MEROMORPHIC FUNCTIONS
SUBHAS S.BHOOSNURMATH,Veena L. Pujari 대한수학회 2015 대한수학회보 Vol.52 No.1
In this paper, we study the uniqueness problems of entire or meromorphic functions concerning differential polynomials that share one value with multiplicity using weighted sharing method. We prove two main theorems which generalize and improve the results of Fang and Fang [2], Dyavanal [1] and others and also solve the open problem posed by Dyavanal. This method yields some new results.
On the value distribution of differential polynomials
Subhas S. Bhoosnurmath,Milind Narayanrao Kulkarni,Kit-Wing Yu 대한수학회 2008 대한수학회보 Vol.45 No.3
In this paper we consider the problem of whether certain homogeneous or non-homogeneous differential polynomials in f(z) necessarily have infinitely many zeros. Particularly, this extends a result of Gopalakrishna and Bhoosnurmath [3, Theorem 2] for a general differential polynomial of degree d (P) and lower degree d (P). In this paper we consider the problem of whether certain homogeneous or non-homogeneous differential polynomials in f(z) necessarily have infinitely many zeros. Particularly, this extends a result of Gopalakrishna and Bhoosnurmath [3, Theorem 2] for a general differential polynomial of degree d (P) and lower degree d (P).
ON THE VALUE DISTRIBUTION OF DIFFERENTIAL POLYNOMIALS
Bhoosnurmath, Subhas S.,Kulkarni, Milind Narayanrao,Yu, Kit-Wing Korean Mathematical Society 2008 대한수학회보 Vol.45 No.3
In this paper we consider the problem of whether certain homogeneous or non-homogeneous differential polynomials in f(z) necessarily have infinitely many zeros. Particularly, this extends a result of Gopalakrishna and Bhoosnurmath [3, Theorem 2] for a general differential polynomial of degree $\bar{d}$(P) and lower degree $\underline{d}$(P).
WEIGHTED SHARING AND UNIQUENESS OF ENTIRE OR MEROMORPHIC FUNCTIONS
Bhoosnurmath, Subhas S.,Pujari, Veena L. Korean Mathematical Society 2015 대한수학회보 Vol.52 No.1
In this paper, we study the uniqueness problems of entire or meromorphic functions concerning differential polynomials that share one value with multiplicity using weighted sharing method. We prove two main theorems which generalize and improve the results of Fang and Fang [2], Dyavanal [1] and others and also solve the open problem posed by Dyavanal. This method yields some new results.
A NOTE ON THE VALUE DISTRIBUTION OF DIFFERENTIAL POLYNOMIALS
Bhoosnurmath, Subhas S.,Chakraborty, Bikash,Srivastava, Hari M. Korean Mathematical Society 2019 대한수학회논문집 Vol.34 No.4
Let f be a transcendental meromorphic function, defined in the complex plane $\mathbb{C}$. In this paper, we give a quantitative estimations of the characteristic function T(r, f) in terms of the counting function of a homogeneous differential polynomial generated by f. Our result improves and generalizes some recent results.
Preethi Balan,Subhas Babu Gogineni,Shishir Ram Shetty,Deepa D’souza 대한영상치의학회 2011 Imaging Science in Dentistry Vol.41 No.4
Progressive hemifacial atrophy, also known as Parry-Romberg syndrome, is an uncommon degenerative condition which is poorly defined. It is characterized by a slow and progressive atrophy affecting one side of the face. The onset usually occurs during the first two decades of life. Characteristically, the atrophy progresses slowly for several years, and then it becomes stable. Ophthalmic involvement is common, with progressive enophthalmos which is a frequent finding. Cutaneous pigmentation is common in such conditions, however its extension to the conjunctiva is rarely reported. We report a case of Parry Romberg syndrome with characteristic clinical and radiographic presentation accompanied with rare ocular findings. The clinical features, radiological findings, and differential diagnoses to be considered, and the available treatment options are discussed in this report.