Hypergeometric functions, integral to various branches of mathematics and physics, have seen significant advancements in recent years. These functions generalize many classical functions and offer solutions to differential equations, making them a focal point of mathematical research. Developments such as q-hypergeometric and elliptic hypergeometric functions have expanded their theoretical framework and practical applications. Advances in computational methods have facilitated manipulation and utilization of these functions in complex problem-solving. In modern physics, hypergeometric functions have found novel applications in areas like string theory and conformal field theory, showcasing their continued relevance and utility.