Sujoy Majumder

Bio: Sujoy Majumder is an academic researcher from Raiganj College (University College). The author has contributed to research in topics: Meromorphic function & Uniqueness. The author has an hindex of 3, co-authored 32 publications receiving 33 citations. Previous affiliations of Sujoy Majumder include Katwa College.

On the uniqueness of a power of a meromorphic function sharing a small function with the power of its derivative

Abstract: In the paper we discuss the uniqueness of the $n$-th power of a meromorphic function sharing a small function with the power of its $k$-th derivative and improve and supplement a result of Zhang-Lu [Complex Var. Elliptic Equ. {53} (2008), no. 9, 857--867]. We also rectify one recent result obtained by Chen and Zhang in [Kyungpook Math. J. {50} (2010), no. 1, 71--80] dealing with a question posed by T.D. Zhang and W.R. Lu in [Complex Var. Elliptic Equ. {53} (2008), no. 9, 857--867].

uniqueness of meromorphic functions sharing three sets- Further study

Abstract: Abstract The notion of weighted sharing of sets is employed to deal with the problem of uniqueness of meromorphic functions sharing three sets. We obtain two results which radically improve and extend a number of results in [2] and [3].

A Uniqueness Result Related to Meromorphic Functions Sharing Two Sets

Abstract: With the help of a new unique range set we investigate the well known question of Gross and prove a uniqueness theorem on meromorphic functions sharing two sets. The result in this paper will improve and supplement some earlier results.

On certain non-linear differential polynomial sharing a non-zero polynomial

Abstract: With the notion of weighted sharing of values we investigate the possible relation between two meromorphic functions when \(f^{n}P(f)f^{(k)}\) and \(g^{n}P(g)g^{(k)}\) share a non-zero polynomial. The results obtained in this paper improve, generalize and rectify a recent one of Cao and Zhang (J Inequal Appl 1:100, 2012).

On unique range set of meromorphic functions with deficient poles

Abstract: With the aid of the notion of weighted sharing of sets we deal with the problem ofUnique Range Sets formeromorphicfunctions and obtain a resultwhich improvesand extends some previous results. We exhibit two examples to show that a condition in one of our results is the best possible.

Uniqueness Theorems for Meromorphic Functions That Share Three Sets

Abstract: The uniqueness of meromorphic functions sharing sets is considered,and the following result is obtained:Let S={z|az n-n(n-1)z 2+2n(n-2)bz-(n-1)(n-2)b 2=0},where n(4),a,bsuch that ab≠0 and ab n-2 ≠2. If f and g are two nonconstant meromorphic functions satisfying WTBXE(S,f)=E(S,g),E({∞},f)=E({∞},g), and E({0},f)=E({0},g)WTBZ, then WTBXf=gWTBZ, or (f-b)(g-b)=b 2.

Preparation and application of a tyre-based activated carbon solid phase extraction of heavy metals in wastewater samples

Abstract: In this paper, the tyre-based activated carbon solid phase extraction (SPE) method was successfully developed for simultaneous preconcentration of metal ions in the model and real water samples before their determination using flame atomic absorption spectrometry (FAAS). The activation of carbon was achieved by chemical activation and the tyre-based activated carbon was used as a sorbent for solid phase extraction. The prepared activated carbon was characterized using the scanning electron microscope (SEM), Brunauer-Emmett-Teller (BET), and Fourier Transform Infrared spectroscopy. Moreover, optimization of the proposed method was performed by the two-level full factorial design (FFD). The FFD was chosen in order to fully investigate the effect of the experimental variables (pH, eluent concentration and sample flow rate) that significantly influence the preconcentration procedure. In this model, individual factors are considered along with their interactions. In addition, modelling of the experiments allowed simultaneous variation of all experimental factors investigated, reduced the required time and number of experimental runs which consequently led to the reduction of the overall required costs. Under optimized conditions, the limits of detection and quantification (LOD and LOQ) ranged 0.66–2.12 μg L−1and 1.78–5.34 μg L−1, respectively and the enrichment factor of 25 was obtained. The developed SPE/FAAS method was validated using CWW-TM-A and CWW-TM-B wastewater standard reference materials (SRMs). The procedure showed to be accurate with satisfactory recoveries ranging from 92 to 99%. The precision (repeatability) was lower than 4% in terms of the relative standard deviation (%RSD). The developed method proved to have the capability to be used in routine analysis of heavy metals in domestic and industrial wastewater samples. In addition, the developed method can be used as a final step (before being discharged to the rivers) in wastewater treatment process in order to keep our water bodies free from toxic metals.

Uniqueness Theorems for Meromorphic Functions Concerning Fixed-points

Abstract: In this article, we deal with the uniqueness problems on meromorphic functions concerning differential polynomials that share fixed-points, and we prove: if f, g be two nonconstant entire function and n(4m+11) be a positive integer. If f n(f m-1)f ′ and gn(gm-1)g′ share z IM, then f≡g; if f, g be two nonconstant meromorphic function and n(4m+22) be a positive integer. If f n(f m-1)f ′ and gn(gm-1)g′ share z IM, then f≡g, or gm=(m+n+1)/(n+1)(1-hn+1)/(1-hn+m+1),fm=(m+n+1)/(n+1)((1-hn+1)hm)/(1-hn+m+1). here h(z) be a nonconstant meromorphic function. Moreover, we greatly improve the former result.

Uique Range Set for Certain Meromorphic Functions

Abstract: In the paper we study the uniqueness of meromorphic function with weighted sharing and prove two theorems,which supplements and improves some results of M.L.Fang and I.Lahiri.

Further investigations on a question of Zhang and Lü

Abstract: In the paper taking the question of Zhang and Lu [15] into background, wepresent one theorem which will improve and extend results of Banerjee-Majumdar [2] and arecent result of Li-Huang [9].