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𝑞-Tricomi functions and quantum algebra representations.
- Source :
-
Georgian Mathematical Journal . Oct2021, Vol. 28 Issue 5, p793-803. 11p. - Publication Year :
- 2021
-
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 (ω) of the two-dimensional quantum algebra ℰq(2) is addressed, and certain relations involving these functions are obtained. 2-Variable 1-parameter q-Tricomi functions and their relationship with the 2-variable 1-parameter q-Bessel functions are also explored. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 1072947X
- Volume :
- 28
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Georgian Mathematical Journal
- Publication Type :
- Academic Journal
- Accession number :
- 152738556
- Full Text :
- https://doi.org/10.1515/gmj-2020-2079