2025/10/01 by Raju Biswas, Biswas, Raju, Rajib Mandal +1
Mathematics · #30A10 #30B10 #30C62 #30C75 #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Mathematical Inequalities and Applications #Mathematical functions and polynomials
paper · pdf · doi:10.48550/arxiv.2510.00684
openalex publication_date 2025/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper introduces a unified framework for Bohr-type inequalities by incorporating multiple Schwarz functions into the majorant series for K-quasiconformal harmonic mappings in the unit disk \mathbbD := \z∈ℂ : |z| < 1\. In this study, we establish several improved and refined versions of the Bohr inequality that generalize and interconnect numerous known results. Our approach not only systematically recovers the existing theorems as special cases but also generates new results that are inaccessible through single-function methods.