activity
20202026
most citedLandau-Bloch type theorem for elliptic and -quasiregular harmonic mappings

4 citations · 11 across the 24 of their papers we have counts for

collaborators

24 papers

math.CV2026

Bloch and Landau Type Theorems for Harmonic Mappings with Inhomogeneous Analytic Dilatation

Vasudevarao Allu, Rohit Kumar

We study Bloch and Landau type theorems for a class of sense-preserving harmonic mappings in the unit disk satisfying the inhomogeneous analytic dil…

math.CV2026

Gabriel's and Frazer's problems for weighted Bergman spaces and their applications

Himadri Halder, Rohit Kumar

In this paper, we investigate Gabriel's and Frazer's problems for analytic and complex-valued harmonic weighted Bergman spaces. More precisely, we establish weighted integral inequ…

math.CV2026

Riesz Theorem and Riesz-Fejér inequality for weighted harmonic Bergman spaces with applications to Möbius invariant spaces

Himadri Halder, Rohit Kumar

The aim of this paper is twofold. First, we establish a Riesz conjugate theorem for weighted harmonic Bergman spaces. More precisely, we prove that if is a harmonic -qu…

quant-ph2025

Combinatorial structures in quantum correlation: A new perspective

Rohit kumar, Satyabrata Adhikari

Graph-theoretic structures play a central role in the description and analysis of quantum systems. In this work, we introduce a new class of quantum states, called -graph stat…

math.AP2025

Fractional critical systems with mixed boundary conditions

R. Kumar, A. Ortega

In this paper, we analyze the existence of solution for a fractional elliptic system coupled by critical nonlinearities and endowed with mixed Dirichlet-Neumann boundary conditions…

math.AP2025

Global branching for semilinear fractional Laplace with sublinear nonlinearity

Jefferson Abrantes, Rohit Kumar, Abhishek Sarkar

This article investigates the existence, nonexistence, and multiplicity of positive solutions to the sublinear fractional elliptic problem . We begin by establishing sever…