Communications of the
Korean Mathematical Society
CKMS
ISSN(Print) 1225-1763
ISSN(Online) 2234-3024
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2022-07-31
Miao-Tam equation on almost coK"{a}hler manifolds
Tarak MandalAbstract : In the present paper, we have studied Miao-Tam equation on three dimensional almost coK"{a}hler manifolds. We have also proved that there does not exist non-trivial solution of Miao-Tam equation on the said manifolds if the dimension is greater than three. Also we give an example to verify the deduced results.
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2022-07-31
Fekete-Szeg"{o} inequalities for a new general subclass of analytic functions involving the $left( p,qight)$-derivative operator
Serap BulutAbstract : In this work, we introduce a new subclass of analytic functions of complex order involving the $left( p,qight) $-derivative operator defined in the open unit disc. For this class, several Fekete-Szeg"{o} type coefficient inequalities are derived. We obtain the results of Srivastava extit{et al.~}cite{SR} as consequences of the main theorem in this study.
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2022-07-31
Multi-derivations and some approximations
Abasalt Bodaghi, Hassan FeizabadiAbstract : In this paper, we introduce the multi-derivations on rings and present some examples of such derivations. Then, we unify the system of functional equations defining a multi-derivation to a single formula. Applying a fixed point theorem, we will establish the generalized Hyers--Ulam stability of multi-derivations in Banach module whose upper bounds are controlled by a general function. Moreover, we give some important applications of this result to obtain the known stability outcomes.
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2023-04-30
Uniqueness of meromorphic function with its $k$-th derivative sharing two small functions under different weights
Abhijit Banerjee, Arpita KunduAbstract : In the paper, we have exhaustively studied about the uniqueness of meromorphic function sharing two small functions with its $k$-th derivative as these types of results have never been studied earlier. We have obtained a series of results which will improve and extend some recent results of Banerjee-Maity \cite{Ban-Maity_Contemp.}.
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2023-01-31
Generalizing some Fibonacci--Lucas relations
Junghyun Hong, Jongmin Lee, Ho ParkAbstract : Edgar obtained an identity between Fibonacci and Lucas numbers which generalizes previous identities of Benjamin--Quinn and Marques. Recently, Dafnis provided an identity similar to Edgar's. In the present article we give some generalizations of Edgar's and Dafnis's identities.
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2022-07-31
A translation of an analogue of Wiener space with its applications on their product spaces
Dong Hyun ChoAbstract : Let $C[0,T]$ denote an analogue of Weiner space, the space of real-valued continuous on $[0,T]$. In this paper, we investigate the translation of time interval $[0,T]$ defining the analogue of Winer space $C[0,T]$. As applications of the result, we derive various relationships between the analogue of Wiener space and its product spaces. Finally, we express the analogue of Wiener measures on $C[0,T]$ as the analogue of Wiener measures on $C[0,s]$ and $C[s,T]$ with $0
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2023-04-30
Two linear polynomials shared by an entire function and its linear differential polynomials
Goutam Kumar GhoshAbstract : In this paper, we study a uniqueness problem of entire functions that share two linear polynomials with its linear differential polynomial. We deduce two theorems which improve some previous results given by I. Lahiri [7].
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2023-04-30
On graded $J$-ideals over graded rings
Tamem Al-Shorman, Malik Bataineh, Ece Yetkin CelikelAbstract : The goal of this article is to present the graded $J$-ideals of $G$-graded rings which are extensions of $J$-ideals of commutative rings. A graded ideal $P$ of a $G$-graded ring $R$ is a graded $J$-ideal if whenever $x,y\in h(R)$, if $xy\in P$ and $x\not\in J(R)$, then $y\in P$, where $h(R)$ and $J(R)$ denote the set of all homogeneous elements and the Jacobson radical of $R$, respectively. Several characterizations and properties with supporting examples of the concept of graded $J$-ideals of graded rings are investigated.
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2022-10-31
The independence and independent dominating numbers of the total graph of a finite commutative ring
Baha' Abughazaleh, Omar AbedRabbu AbughneimAbstract : Let $R$ be a finite commutative ring with nonzero unity and let $Z(R)$ be the zero divisors of $R$. The total graph of $R$ is the graph whose vertices are the elements of $R$ and two distinct vertices $x,y\in R$ are adjacent if $x+y\in Z(R)$. The total graph of a ring $R$ is denoted by $\tau (R)$. The independence number of the graph $\tau (R)$ was found in \cite{Nazzal}. In this paper, we again find the independence number of $\tau (R)$ but in a different way. Also, we find the independent dominating number of $\tau (R)$ . Finally, we examine when the graph $\tau (R)$ is well-covered.
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2023-04-30
Simple formulations on circulant matrices with alternating Fibonacci
Sugi GuritmanAbstract : In this article, an alternating Fibonacci sequence is defined from a second-order linear homogeneous recurrence relation with constant coefficients. Then, the determinant, inverse, and eigenvalues of the circulant matrices with entries in the first row having the formation of the sequence are formulated explicitly in a simple way. In this study, the method for deriving the formulation of the determinant and inverse is simply using traditional elementary row or column operations. For the eigenvalues, the known formulation from the case of general circulant matrices is simplified by considering the specialty of the sequence and using cyclic group properties. We also propose algorithms for the formulation to show how efficient the computations are.
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On partial sums of four parametric Wright function
Muhey U Din
Commun. Korean Math. Soc. 2022; 37(3): 681-692
https://doi.org/10.4134/CKMS.c200469 -
Unitary analogues of a generalized number-theoretic sum
Traiwat Intarawong, Boonrod Yuttanan
Commun. Korean Math. Soc. 2023; 38(2): 355-364
https://doi.org/10.4134/CKMS.c220139 -
Note on the multifractal measures of Cartesian product sets
Najmeddine Attia, Rihab Guedri, Omrane Guizani
Commun. Korean Math. Soc. 2022; 37(4): 1073-1097
https://doi.org/10.4134/CKMS.c210350 -
Chen invariants and statistical submanifolds
Hitoshi Furuhata, Izumi Hasegawa, Naoto Satoh
Commun. Korean Math. Soc. 2022; 37(3): 851-864
https://doi.org/10.4134/CKMS.c210185
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Formulas and relations for Bernoulli-type numbers and polynomials derive from Bessel function
Selin Selen OZBEK SIMSEK, Yilmaz SIMSEK
Commun. Korean Math. Soc. 2023; 38(4): 1175-1189
https://doi.org/10.4134/CKMS.c230045 -
Chen invariants and statistical submanifolds
Hitoshi Furuhata, Izumi Hasegawa, Naoto Satoh
Commun. Korean Math. Soc. 2022; 37(3): 851-864
https://doi.org/10.4134/CKMS.c210185 -
Miao-Tam equation on almost coK"{a}hler manifolds
Tarak Mandal
Commun. Korean Math. Soc. 2022; 37(3): 881-891
https://doi.org/10.4134/CKMS.c210225 -
Uniform distributions on curves and quantization
Joseph Rosenblatt, Mrinal Kanti Roychowdhury
Commun. Korean Math. Soc. 2023; 38(2): 431-450
https://doi.org/10.4134/CKMS.c210434
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