Zobrazeno 1 - 10
of 76
pro vyhledávání: '"Jung-Yoog Kang"'
Autor:
Jung Yoog Kang, Cheon Seoung Ryoo
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 29645-29661 (2024)
We construct a new type of Genocchi polynomials using degenerate quantum exponential functions and find various forms of $ (q, h) $-difference equations with these polynomials as solutions. This paper includes properties of the symmetric structures o
Externí odkaz:
https://doaj.org/article/18fccee3e9bc40fca164bc0ff123cf57
Autor:
Jung Yoog Kang, Cheon Seoung Ryoo
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 16753-16772 (2024)
In this study, we introduced several types of higher-order difference equations involving $ q $-SINE Euler (QSE) and $ q $-COSINE Euler (QCE) polynomials. Depending on the parameters selected, these higher-order difference equations exhibited propert
Externí odkaz:
https://doaj.org/article/4aba7ea09e9f4a898dcdf393f164590f
Publikováno v:
AIMS Mathematics, Vol 8, Iss 12, Pp 30591-30609 (2023)
The 2-variable modified partially degenerate Hermite (MPDH) polynomials are the subject of our study in this paper. We found basic properties of these polynomials and obtained several types of differential equations related to MPDH polynomials. Based
Externí odkaz:
https://doaj.org/article/2fb013dbd38f49d3ad875abbfe2ea5dc
Autor:
Jung-Yoog Kang, Cheon-Seoung Ryoo
Publikováno v:
Fractal and Fractional, Vol 7, Iss 11, p 791 (2023)
In this article, we construct a new type of degenerate q-sigmoid (DQS) polynomial for sigmoid functions containing quantum numbers and find several difference equations related to it. We check how each point moves by iteratively synthesizing a quarti
Externí odkaz:
https://doaj.org/article/68fb90dd47ad43ce90bb15610045c471
Autor:
Jung-Yoog Kang, Cheon-Seoung Ryoo
Publikováno v:
Mathematics, Vol 11, Iss 13, p 2803 (2023)
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 re
Externí odkaz:
https://doaj.org/article/4027d148636d4048858e263c9878a033
Autor:
Jung-Yoog Kang
Publikováno v:
Symmetry, Vol 15, Iss 4, p 874 (2023)
In this paper, we construct degenerate q-tangent numbers and polynomials and determine their related properties. Based on these numbers and polynomials, we also confirm that the structure of the approximate root changes according to changes in q and
Externí odkaz:
https://doaj.org/article/2e7759b445534099ad25f4a6a01a9957
Autor:
Cheon Seoung Ryoo, Jung Yoog Kang
Publikováno v:
Journal of Mathematics, Vol 2022 (2022)
The objective of this study is to find q-differential equations of higher order related to q-modified derangements’ polynomials and confirm the structure of approximation roots. Furthermore, it states several symmetric properties of q-differential
Externí odkaz:
https://doaj.org/article/4be6b2f04d6544779d773111613c1306
Autor:
Cheon-Seoung Ryoo, Jung-Yoog Kang
Publikováno v:
Mathematics, Vol 10, Iss 23, p 4469 (2022)
The purpose of this paper is to organize various types of higher order q-differential equations that are connected to q-sigmoid polynomials and obtain certain properties regarding their solutions. Using the properties of q-sigmoid polynomials, we sho
Externí odkaz:
https://doaj.org/article/40f28601e15c4018ade1ea7028ac5c9e
Autor:
Cheon-Seoung Ryoo, Jung-Yoog Kang
Publikováno v:
Fractal and Fractional, Vol 6, Iss 6, p 296 (2022)
We introduce several q-differential equations of higher order which are related to q-Bernoulli polynomials and obtain a symmetric property of q-differential equations of higher order in this paper. By giving q-varying variations, we identify the shap
Externí odkaz:
https://doaj.org/article/a9414103f770421d928239a4855b4893
Autor:
Cheon-Seoung Ryoo, Jung-Yoog Kang
Publikováno v:
Mathematics, Vol 10, Iss 7, p 1181 (2022)
One finds several q-differential equations of a higher order for q-Euler polynomials and q-Genocchi polynomials. Additionally, we have a few q-differential equations of a higher order, which are mixed with q-Euler numbers and q-Genocchi polynomials.
Externí odkaz:
https://doaj.org/article/3babdf826f0845feb6fe40dbd5e880c9