2025, Vol. 10, Issue 1, Part B
Application of hypergeometric function involved two or more variables
Author(s): Kalyani Kumari and Dhrub Kumar Singh
Abstract: The application of hypergeometric functions in mathematical analysis, particularly in the context of two or more variables, plays a pivotal role in solving complex problems in physics, engineering, and applied mathematics. This paper explores the extension of hypergeometric functions to multivariable settings, focusing on their role in solving differential equations, integrals, and boundary value problems. We discuss the connection between multivariable hypergeometric functions and various areas of mathematics, including special functions, series expansions, and asymptotic analysis. Furthermore, we examine practical applications in fields such as quantum mechanics, statistical mechanics, and complex systems. Through detailed analysis, we demonstrate the effectiveness of these functions in modeling multidimensional phenomena and in providing solutions to systems governed by partial differential equations. The paper also explores the relationships between multivariable hypergeometric functions and other mathematical structures, such as Lie groups and algebraic varieties, highlighting their broad applicability in modern scientific research.
Pages: 182-194 | Views: 17 | Downloads: 7Download Full Article: Click Here
How to cite this article:
Kalyani Kumari, Dhrub Kumar Singh. Application of hypergeometric function involved two or more variables. Int J Stat Appl Math 2025;10(1):182-194.