Hypergeometric functions on fuzzy lie groups

Abstract

This research paper explores the integration of hypergeometric functions with fuzzy Lie groups. By extending classical Lie group theories to their fuzzy analogues, we aim to construct hypergeometric functions on fuzzy Lie groups and investigate their properties. The foundation of this study lies in the application of fuzzy set theory to the well-established concepts of Lie groups and hypergeometric functions, thus providing a new dimension to both fields.