@article{Awad2026, 
author = {Mohamed M. Awad and Nada Mostafa and Ayman Shehata},
title = {Lie theory and Humbert function        Ψ          1},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {3},
pages = {5824-5840},
keywords = {Lie theory, Lie algebra method, dynamical symmetry algebra, Weisner's group theoretic method, Humbert function Ψ1, group theoretical analysis},
url = {https://www.sciopen.com/article/10.3934/math.2026240},
doi = {10.3934/math.2026240},
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        Ψ          1      . Multiplier representation theory of Lie groups and algebras is then used to obtain a generating function for basic analogue of Humbert function        Ψ          1      .}
}