Lie theory and Humbert function Psi_{1}
Research Abstract
The paper is devoted to bringing hypergeometric functions (HFs) within the purview of Lie theory by constructing a dynamical symmetry algebra of Humbert function $\Psi_{1}$. Multiplier representation theory of Lie groups and algebras is then used to obtain a generating function for basic analogue of Humbert function $\Psi_{1}$
Research Date
Research Department
Research File
10.3934_math.2026240.pdf
(252.82 KB)
10.3934_math.2026240_0.pdf
(252.82 KB)
Research Journal
AIMS Mathematics
Research Member
Research Pages
5824-5840
Research Publisher
AIMS Press
Research Rank
Q1
Research Vol
11
Research Website
https://www.aimspress.com/article/doi/10.3934/math.2026240
Research Year
2026