Abstract
The quantum groups nowadays attract a considerable interest of mathematicians and physicists.
The theory of q-special functions has received a group-theoretic interpretation using the techniques of quantum groups and quantum algebras.
This paper focuses on introducing the q-Tricomi functions and 2D q-Tricomi functions through the generating function and series expansion and for the first time establishing a connecting relation between the q-Tricomi and q-Bessel functions.
The behavior of these functions is described through shapes, and the contrast between them is observed using mathematical software.
Further, the problem of framing the q-Tricomi and 2D q-Tricomi functions in the context of the irreducible representation
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