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Keywords = Lommel matrix differential equations

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17 pages, 303 KiB  
Article
On Lommel Matrix Polynomials
by Ayman Shehata
Symmetry 2021, 13(12), 2335; https://doi.org/10.3390/sym13122335 - 6 Dec 2021
Cited by 3 | Viewed by 2318
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 [...] Read more.
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. Full article
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