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Study of entire and meromorphic function for linear difference-differential polynomials
S. Rajeshwari,P. Nagaswara 한국전산응용수학회 2023 Journal of Applied and Pure Mathematics Vol.5 No.5
We investigate the value distribution of difference-differential polynomials of entire and meromorphic functions, which can be gazed as the Hayman's Conjecture. And also we study the uniqueness and existence for sharing common value of difference-differential polynomials.
STUDY OF ENTIRE AND MEROMORPHIC FUNCTION FOR LINEAR DIFFERENCE-DIFFERENTIAL POLYNOMIALS
S. RAJESHWARI,P. NAGASWARA The Korean Society for Computational and Applied M 2023 Journal of applied and pure mathematics Vol.5 No.5
We investigate the value distribution of difference-differential polynomials of entire and meromorphic functions, which can be gazed as the Hayman's Conjecture. And also we study the uniqueness and existence for sharing common value of difference-differential polynomials.
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].
M. Raaja Rajeshwari,Asad Syed,Ali H. Bahkali,Abdallah M. Elgorban,M. Kalil Rahiman,Rajender S. Varma,S. Sudheer Khan 한국공업화학회 2022 Journal of Industrial and Engineering Chemistry Vol.115 No.-
In this work, rGO-based ternary dual Z-scheme heterojunction (rGO/CuFe2O4/CdS/Bi2S3 QDs) was formulatedfor the effective photo-Fenton assisted photocatalytic degradation of a b-blocker, atenolol. The catalystwas synthesised via a simple co-precipitation/hydrothermal method and was characterized usingXRD, XPS, FT-IR, SEM, TEM, PL, EIS, ESR, Raman and DRS. It exhibited about 76.5% degradation of atenololin 360 min under visible light irradiation with a rate constant of 0.004 min1 wherein the mechanism ofenhanced activity was attributed to the formation of OH, h+ and photo-Fenton reaction; a possible mechanismwas drafted. The intermediates were determined using GC–MS analysis delineating a plausibledegradation pathway, the mineralization of atenolol being confirmed by TOC analysis. The catalyst wasreusable and highly stable up to six cycles of degradation, as affirmed via XRD and XPS analysis. Further, the toxicity of the catalyst has been studied using the root cells of Allium cepa, and the degradedproduct and intermediates were assessed deploying ECOSAR software. Thus, the proposed work haspotential which can be implemented in future for the large-scale purification of wastewater.
UNIQUENESS OF TRANSCENDENTAL MEROMORPHIC FUNCTIONS AND CERTAIN DIFFERENTIAL POLYNOMIALS
H.R. JAYARAMA,S.H. NAVEENKUMAR,S. RAJESHWARI,C.N. CHAITHRA The Korean Society for Computational and Applied M 2023 Journal of applied mathematics & informatics Vol.41 No.4
In this paper, we explore the uniqueness property between the transcendental meromorphic functions and differential polynomial. With the notion of weighted sharing, we generalised the many previous results on uniqueness property. Here we discussed the uniqueness of [P(f)(αf<sup>m</sup> + β)<sup>s</sup>]<sup>(k)</sup> - η(z) and [P(g)(αg<sup>m</sup> + β)<sup>s</sup>]<sup>(k)</sup> - η(z). Meanwhile, we generalised the result of Harina P. waghamore and Rajeshwari S[1].
A NOTE ON THE UNIQUENESS OF MEROMORPHIC FUNCTIONS SHARING A UNIQUE RANGE SETS IM
BHUVANESHWARI, T.,RAJESHWARI, S. The Korean Society for Computational and Applied M 2022 Journal of applied mathematics & informatics Vol.40 No.5-6
In this paper, we study the uniqueness of meromorphic functions sharing a unique range sets Ignoring multiplicities. This paper improves the result of Pulak sahoo and Anjan Sarkar [15].
Complex delay-differential equations of Malmquist type
P. Nagaswara,S. Rajeshwari 한국전산응용수학회 2022 Journal of applied mathematics & informatics Vol.40 No.3
In this paper, we investigate some results on complex delay-differential equations of the classical Malmquist theorem. A classic illustrations of their results states us that if a complex delay equation w(t+1) + w(t-1)= R(t , w) with R(t,w) rational in both arguments admits (concede) a transcendental meromorphic solution of finite order, then deg_w R(t,w)\le 2. Development and upgrade of such results are presented in this paper. In addition, Borel exceptional zeros and poles seem to appear in special situations.
Value distribution of meromorphic functions satisfying generalized painleve differential equations
H. P. Waghamore,S. Rajeshwari 장전수학회 2011 Proceedings of the Jangjeon mathematical society Vol.14 No.2
In this paper we consider the generalized painleve differential equation f^(2(n)-2) = K(f^n) + z, where n ≥ 2 is an integer and K is any con-stant.Applying Nevanlinna Theory, we study the value distribution properties of transcendental meromorphic solutions of such equations.
VALUE DISTRIBUTION AND UNIQUENESS OF CERTAIN TYPES OF DIFFERENCE POLYNOMIALS
HARINA P. WAGHAMORE,RAJESHWARI S. 장전수학회 2018 Advanced Studies in Contemporary Mathematics Vol.28 No.1
In this paper, we investigate the value distribution and uniqueness problem of q-shift dierence polynomials sharing a small function. With the notion of weakly weighted sharing and relaxed weighted sharing we extend some well known previous results.
VEENA,V. HUSNA,S. RAJESHWARI The Korean Society for Computational and Applied M 2023 Journal of applied mathematics & informatics Vol.41 No.4
In this research article, we deal with the uniqueness of entire and meromorphic functions when two linear differential polynomial share a non-zero value and obtain some results.