\(q\)-special functions, basic hypergeometric functions, generating functions, \(q\)-oscillator algebra, Quantum groups (quantized enveloping algebras) and related deformations, Groups and algebras in quantum theory and relations with integrable systems, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, Quantum groups and related algebraic methods applied to problems in quantum theory, two-dimensional Euclidean quantum algebra