Research Abstract
The main aim of this paper is to introduce a new class of Lommel matrix polynomials with the help of hypergeometric matrix function within complex analysis. We derive several properties such as an entire function, order, type, matrix recurrence relations, differential equation and integral representations for Lommel matrix polynomials and discuss its various special cases. Finally, we establish an entire function, order, type, explicit representation and several properties of modified Lommel matrix polynomials. There are also several unique examples of our comprehensive results constructed.
Research Date
Research Department
Research File
Research Journal
Symmetry
Research Member
Research Publisher
Symmetry MDPI
Research Rank
Q2(ISI)
Research Vol
13(12)
Research Website
https://doi.org/10.3390/sym13122335
Research Year
2021
Research Pages
17