Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Jung-Yoog Kang"'
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:
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
Autor:
Cheon-Seoung Ryoo, Jung-Yoog Kang
Publikováno v:
Symmetry, Vol 14, Iss 4, p 706 (2022)
This paper intends to define degenerate q-Hermite polynomials, namely degenerate q-Hermite polynomials by means of generating function. Some significant properties of degenerate q-Hermite polynomials such as recurrence relations, explicit identities
Externí odkaz:
https://doaj.org/article/b273e13e3b3e45de9e4e93ca32679582
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
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