
Madan Mohan SorenBerhampur University · Department of Mathematics
Madan Mohan Soren
M.Sc. M.Phil. Ph.D(B.U.)
About
15
Publications
981
Reads
How we measure 'reads'
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
32
Citations
Introduction
I am working on the field of Geometric function theory:univalent and multivalent function; harmonic function; bi-univalent function etc.
Publications
Publications (15)
In this paper, we investigate some strong differential subordination and strong differential superordination results for analytic functions, which involving the iterations of the Owa-Srivastava operator and its combination. Some new sandwich type results are also obtained.
In the present paper, we introduce and investigate two new subclasses, namely; the class of strongly α-bi-spirallike functions of order β and α-bi-spirallike functions of order ρ, of the function class Σ of normalized analytic and bi-univalent functions in the open unit disk U = [z: z ∈ and |z| < 1]: We find estimates on the coefficients |a2|; |a3|...
Certain new subclasses of bi-univalent analytic functions are introduced in this paper using the concept of subordination. Non-sharp bounds for the Fekete–Szegö functional are found. The results of this paper generalize several recently obtained results.
In the present investigation, we present certain subordination and superordination results for the q-integral operator of a fractional order associated with analytic functions in the open unit disk U. Using this q-integral operator, we obtain sandwich-type results. Furthermore, we employ the existence of univalent solutions to a q-differential equa...
In this article, we study the convergence behaviour of the classical generalized Max Product exponential sampling series in the weighted space of log-uniformly continuous and bounded functions. We derive basic convergence results for both the series and study the asymptotic convergence behaviour. Some quantitative approximation results have been ob...
In recent years, there have been many interesting usages for differential subordinations of analytic functions in Geometric Function Theory of Complex Analysis. The concept of the first and second-order differential subordination have been pioneered by Miller and Mocanu. In 2011, the third-order differential subordination were defined to give a new...
In this paper, we present and investigate the notion of third-order strong differential subordinations, unveiling several intriguing properties within the context of specific classes of admissible functions. Furthermore, we extend certain definitions, presenting novel and fascinating results. We also derive several interesting properties of the res...
In this paper, we derive several fuzzy differential subordination and fuzzy differential superordination results for analytic functions $ \mathcal{M}_{\xi, \beta}^{s, \gamma} $, which involve the extended Mittag-Leffler function and the Pascal distribution series. We also investigate and introduce a class $ \mathcal{MB}_{\xi, \beta}^{F, s, \gamma}(...
In this paper, we use the Berezin transform for operator 𝐴 ∈ 𝐿(𝐿_{𝑎}^{2}(𝛥)) given by 𝐴̃(𝑤) = ⟨𝐴𝑘𝑤, 𝑘𝑤⟩, 𝑤 ∈ Δ to give some sufficient conditions for equality of two bounded
linear operators on 𝐿_{𝑎}^{2}(𝛥) and also establish some basic properties of bounded linear operators on 𝐿_{𝑎}^{2}(𝛥) when the Berezin transform of two bounded linear operators...
We investigate the necessary and sufficient conditions for Toeplitz operators, tensor product of Toeplitz operators, Commutator of operators, Duggal transform and Aluthge transform of Toeplitz operators on the Bergman space to be 2-isometry. Further, some sufficient conditions for operator matrices on the vector valued Bergman space are shown to be...
In this paper, by making use of a meromorphic analogue of the Cho-Kwon-Srivastava operator and its iterations, certain new families of meromorphic p-valent func-tions are introduced. Several interesting properties of these function classes, such as inclusion theorems, convolution theorems and class preserving transforms, are studies.