Zobrazeno 1 - 10
of 47
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:
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:
Jung Yoog Kang
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2020 (2020)
The sigmoid polynomials combining q-numbers and various properties of their polynomials are thoroughly presented in this paper. Based on several properties of q-numbers, we derive some identities of q-sigmoid polynomials. Also, from explicit polynomi
Externí odkaz:
https://doaj.org/article/3800960cd4814199b459ae8b43431c38
Autor:
Cheon Seoung Ryoo, Jung Yoog Kang
Publikováno v:
Fractal and Fractional, Vol 5, Iss 4, p 245 (2021)
In this paper, we define (p,q)-cosine and sine sigmoid polynomials. Based on this, the properties of each polynomial, and the structure and assumptions of its roots, can be identified. Properties can also be determined by the changes in p and q.
Externí odkaz:
https://doaj.org/article/38b9815df8334709b0ac556893e94e13
Autor:
Cheon Seoung Ryoo, Jung Yoog Kang
Publikováno v:
Symmetry, Vol 13, Iss 8, p 1520 (2021)
In this paper, we introduce (p,q)-cosine Euler polynomials. From these polynomials, we find several properties and identities. Moreover, we find the circle equations of approximate roots for (p,q)-cosine Euler polynomials by using a computer.
Externí odkaz:
https://doaj.org/article/2c9cd8c30bc94dd8a0e3f879039d8fd4
Autor:
Cheon Seoung Ryoo, Jung Yoog Kang
Publikováno v:
Symmetry, Vol 12, Iss 8, p 1247 (2020)
In this paper, we introduce q-cosine and q-sine Euler polynomials and determine identities for these polynomials. From these polynomials, we obtain some special properties using a power series of q-trigonometric functions, properties of q-exponential
Externí odkaz:
https://doaj.org/article/7cf1d800c15a4bdfa95ba3f7b6ca2f50
Autor:
Cheon Seoung Ryoo, Jung Yoog Kang
Publikováno v:
Symmetry, Vol 12, Iss 6, p 885 (2020)
This paper constructs and introduces ( p , q ) -cosine and ( p , q ) -sine Bernoulli polynomials using ( p , q ) -analogues of ( x + a ) n . Based on these polynomials, we discover basic properties and identities. Moreover, we determine special prope
Externí odkaz:
https://doaj.org/article/46493c5b6b5e49eeba6b132034a3bd40
Autor:
Jung Yoog Kang, Chen Seoung Ryoo
Publikováno v:
Mathematics, Vol 8, Iss 4, p 463 (2020)
In this paper, we define cosine Bernoulli polynomials and sine Bernoulli polynomials related to the q-number. Furthermore, we intend to find the properties of these polynomials and check the structure of the roots. Through numerical experimentation,
Externí odkaz:
https://doaj.org/article/3ab3348b52b44c05a18a6c878d14ab86