MUMBAI, India, Aug. 10 -- Intellectual Property India has published a patent application (202411103213 A) filed by Lovely Professional University on December 26, 2024, for A Method And System For Establishing Normality Criteria For Multi-Variable Holomorphic Functions Using Total Derivatives.
Inventor includes Rahul Kumar.
The application for the patent was published on July 31, 2026, under issue no. 31/2026.
Abstract: The present invention pertains to the field of complex analysis, specifically focusing on the development of normality criteria for multi-variable holomorphic functions through the application of total derivatives. The invention introduces a method that incorporates total derivatives into the analysis of holomorphic functions defined on multi-dimensional complex spaces, thereby formulating a novel normality criterion that extends classical theorems such as Zalcman and Zalcman-Pang lemmas to several complex variables. This method analyzes the behavior of holomorphic functions in multi-variable settings to determine conditions for normal behavior, with total derivatives providing insights into the functions' responses to simultaneous variations in all variables. Additionally, the invention includes a system comprising a computational module, an interface, and a database, which collectively facilitate the exploration and application of the new normality criteria in various mathematical and scientific fields, enhancing the understanding of function behavior in multi-dimensional complex spaces.
Disclaimer: Curated by HT Syndication.
