Zobrazeno 1 - 10
of 227
pro vyhledávání: '"Cheon-Seoung Ryoo"'
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:
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
Publikováno v:
Mathematics, Vol 10, Iss 15, p 2709 (2022)
Utilizing p,q-numbers and p,q-concepts, in 2016, Duran et al. considered p,q-Genocchi numbers and polynomials, p,q-Bernoulli numbers and polynomials and p,q-Euler polynomials and numbers and provided multifarious formulas and properties for these pol
Externí odkaz:
https://doaj.org/article/fc815298248f4572b7a063671c20caaa
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:
Cheon-Seoung Ryoo
Publikováno v:
Symmetry, Vol 13, Iss 8, p 1371 (2021)
In this paper, we define a new form of Carlitz’s type degenerate twisted (p,q)-Euler numbers and polynomials by generalizing the degenerate Euler numbers and polynomials, Carlitz’s type degenerate q-Euler numbers and polynomials. Some interesting
Externí odkaz:
https://doaj.org/article/944d6baba8264c41bb45365718b983bb
Autor:
Cheon-Seoung Ryoo, Jungyoog Kang
Publikováno v:
Mathematics, Vol 9, Iss 11, p 1168 (2021)
Hermite polynomials are one of the Apell polynomials and various results were found by the researchers. Using Hermit polynomials combined with q-numbers, we derive different types of differential equations and study these equations. From these equati
Externí odkaz:
https://doaj.org/article/8448a50f742848589f3068e47ccfcf37
Publikováno v:
Symmetry, Vol 13, Iss 1, p 95 (2021)
The main aim of this article is to investigate some interesting symmetric identities for the Dirichlet-type multiple (p,q)-L function. We use this function to examine the symmetry of the generalized higher-order (p,q)-Euler polynomials related to χ.
Externí odkaz:
https://doaj.org/article/2638896473e1439b8855c18259d5e562