MUMBAI, India, July 7 -- Intellectual Property India has published a patent application (202641076911 A) filed by Sr University on June 22, 2026, for Framework For Deriving Coefficient Inequalities For Analytic And Univalent Functions.
Inventors include D. Krishna; and B. Ravindar.
The application for the patent was published on July 03, 2026, under issue no. 27/2026.
Abstract: FRAMEWORK FOR DERIVING COEFFICIENT INEQUALITIES FOR ANALYTIC AND UNIVALENT FUNCTIONS The present invention relates to a structural framework for deriving coefficient inequalities of analytic and univalent functions defined in the open unit disk. The framework analyzes structural dependencies among coefficients rather than treating coefficients individually, thereby enabling the derivation of generalized coefficient inequalities applicable to multiple subclasses of analytic and univalent functions. The framework incorporates function classification, coefficient relationship analysis, inequality generation, and coefficient bounding modules. Algebraic transformation operators, classical moment operators, function-theoretic operators, subordination principles, and differential constraints are employed to obtain enhanced estimates of higher-order coefficients and unified bounding structures. The invention provides generalized extensions of classical coefficient theories, including Bieberbach-type results, and establishes unified inequality systems capturing interrelations among coefficients. The framework is applicable to starlike, convex, close-to-convex, almost convex, and hybrid subclasses of analytic functions, and supports applications in geometric function theory, conformal mapping, approximation theory, and complex dynamical systems.
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