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Keywords = DQE polynomials

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14 pages, 1528 KiB  
Article
Approximate Roots and Properties of Differential Equations for Degenerate q-Special Polynomials
by Jung-Yoog Kang and Cheon-Seoung Ryoo
Mathematics 2023, 11(13), 2803; https://doi.org/10.3390/math11132803 - 21 Jun 2023
Cited by 8 | Viewed by 1217
Abstract
In this paper, we generate new degenerate quantum Euler polynomials (DQE polynomials), which are related to both degenerate Euler polynomials and q-Euler polynomials. We obtain several (q,h)-differential equations for DQE polynomials and find some relations of q [...] Read more.
In this paper, we generate new degenerate quantum Euler polynomials (DQE polynomials), which are related to both degenerate Euler polynomials and q-Euler polynomials. We obtain several (q,h)-differential equations for DQE polynomials and find some relations of q-differential and h-differential equations. By varying the values of q,η, and h, we observe the values of DQE numbers and approximate roots of DQE polynomials to obtain some properties and conjectures. Full article
(This article belongs to the Special Issue Q-differential/Difference Equations and Related Applications)
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