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Honam Mathematical Journal
Journal Basic Information
pISSN :
1225-293X
eISSN :
2288-6176
Journal DOI :
10.5831/HMJ
Frequency :
Others
Publisher:
The Honam Mathematical Society
Editor in Chief :
Volume & Issues
Volume 34, Issue 4 - Dec 2012
Volume 34, Issue 3 - Sep 2012
Volume 34, Issue 2 - Jun 2012
Volume 34, Issue 1 - Mar 2012
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1
INTEGRAL REPRESENTATIONS FOR SRIVASTAVA'S HYPERGEOMETRIC FUNCTION H
_{C}
Choi, Junesang ; Hasanov, Anvar ; Turaev, Mamasali ;
Honam Mathematical Journal, volume 34, issue 4, 2012, Pages 473~482
DOI : 10.5831/HMJ.2012.34.4.473
Abstract
While investigating the Lauricella's list of 14 complete second-order hypergeometric series in three variables, Srivastava noticed the existence of three additional complete triple hypergeo-metric series of the second order, which were denoted by
,
and
. Each of these three triple hypergeometric functions
,
and
has been investigated extensively in many different ways including, for example, in the problem of finding their integral representations of one kind or the other. Here, in this paper, we aim at presenting further integral representations for the Srivatava's triple hypergeometric function
.
2
GROUP OF POLYNOMIAL PERMUTATIONS OF ℤ
_{p}
_{r}
Lee, Kwankyu ; Lee, Heisook ;
Honam Mathematical Journal, volume 34, issue 4, 2012, Pages 483~494
DOI : 10.5831/HMJ.2012.34.4.483
Abstract
The set of all polynomial permutations of
forms a group. We investigate the structure of the group and some related groups, and completely determine the structure of the group of all polynomial permutations of
.
3
SOME REMARKS ON SEMIALGEBRAIC TRANSFORMATION GROUPS
Park, Dae Heui ;
Honam Mathematical Journal, volume 34, issue 4, 2012, Pages 495~504
DOI : 10.5831/HMJ.2012.34.4.495
Abstract
Let G be a semialgebraic group and M a proper semi-algebraic G-set which is locally complete. In this paper we show that the orbit space M/G has a semialgebraic structure such that the orbit map is semialgebraic.
4
ON SUBMODULE TRANSFORMS T(N) AND S(N)
Cho, Yong Hwan ;
Honam Mathematical Journal, volume 34, issue 4, 2012, Pages 505~512
DOI : 10.5831/HMJ.2012.34.4.505
Abstract
In this paper, we give some properties on submodule transforms.
5
HORIZONTAL SUBSPACES IN THE BUNDLE OF LINEAR FRAMES
Park, Joon-Sik ;
Honam Mathematical Journal, volume 34, issue 4, 2012, Pages 513~517
DOI : 10.5831/HMJ.2012.34.4.513
Abstract
Let L(M) be the bundle of all linear frames over a smooth manifold M,
an arbitrarily given point of L(M), and
a linear connection on M. Then the following result is well known: the horizontal subspace at the point
may be written in terms of local coordinates of
and Christoel's symbols defined by
. This result is very fundamental on the study of the theory of connections. In this paper we show that the local expression of the horizontal subspace at the point u does not depend on the choice of a local coordinate system around the point
, which is rarely seen.
6
CONVOLUTION SUM ∑
_{k}
_{<}
_{N/3}
σ
_{1}
(3
^{m}
k)σ
_{1}
(2
^{n}
(N-3k))
Kim, Aeran ; Kim, Daeyeoul ; Seo, Gyeong-Sig ;
Honam Mathematical Journal, volume 34, issue 4, 2012, Pages 519~531
DOI : 10.5831/HMJ.2012.34.4.519
Abstract
Let
. Next, the convolution sums
,
, etc., are evaluated for all
with
,
.
7
ON THE RECURRENCE SEQUENCES
Choi, Eunmi ;
Honam Mathematical Journal, volume 34, issue 4, 2012, Pages 533~548
DOI : 10.5831/HMJ.2012.34.4.533
Abstract
We investigate relations of polynomials
and recurrence sequences. We consider certain variations of the Fibonacci sequence and investigate explicit ways to compute the general nth term.
8
VAGUE q-IDEALS IN BCI-ALGEBRAS
Hwang, Yun Sun ; Ahn, Sun Shin ;
Honam Mathematical Journal, volume 34, issue 4, 2012, Pages 549~557
DOI : 10.5831/HMJ.2012.34.4.549
Abstract
The notion of vague
-ideals of BCI-algebras is introduced, and several properties of them are investigated. Relations between a vague ideal and a vague
-ideal are discussed. Characterizations of a vague
-ideal are considered.
9
NEIGHBORHOOD STRUCTURES IN ORDINARY SMOOTH TOPOLOGICAL SPACES
Lee, Jeong Gon ; Lim, Pyung Ki ; Hur, Kul ;
Honam Mathematical Journal, volume 34, issue 4, 2012, Pages 559~570
DOI : 10.5831/HMJ.2012.34.4.559
Abstract
We construct a new definition of a base for ordinary smooth topological spaces and introduce the concept of a neighborhood structure in ordinary smooth topological spaces. Then, we state some of their properties which are generalizations of some results in classical topological spaces.
10
ZERO-DIVISOR GRAPHS OF MULTIPLICATION MODULES
Lee, Sang Cheol ; Varmazyar, Rezvan ;
Honam Mathematical Journal, volume 34, issue 4, 2012, Pages 571~584
DOI : 10.5831/HMJ.2012.34.4.571
Abstract
In this study, we investigate the concept of zero-divisor graphs of multiplication modules over commutative rings as a natural generalization of zero-divisor graphs of commutative rings. In particular, we study the zero-divisor graphs of the module
over the ring
of integers, where
is a positive integer greater than 1.
11
APPLICATIONS OF COUPLED N-STRUCTURES IN BH-ALGEBRAS
Seo, Min Jeong ; Ahn, Sun Shin ;
Honam Mathematical Journal, volume 34, issue 4, 2012, Pages 585~596
DOI : 10.5831/HMJ.2012.34.4.585
Abstract
The notions of a
-subalgebra, a (strong)
-ideal of BH-algebras are introduced, and related properties are investigated. Characterizations of a coupled
-subalgebra and a coupled (strong)
-ideals of BH-algebras are given. Relations among a coupled
-subalgebra, a coupled
-ideal and a coupled strong
of BH-algebras are discussed.
12
DENSITY OF IMAGINARY CUBIC FUNCTION FIELDS HAVING INFINITE HILBERT 3-CLASS FIELD TOWER
Jung, Hwanyup ;
Honam Mathematical Journal, volume 34, issue 4, 2012, Pages 597~601
DOI : 10.5831/HMJ.2012.34.4.597
Abstract
In this paper we study the density of imaginary cubic function fields having the infinite Hilbert 3-class field tower.
13
FORMULAS DEDUCIBLE FROM A GENERALIZATION OF GOTTLIEB POLYNOMIALS IN SEVERAL VARIABLES
Choi, Junesang ;
Honam Mathematical Journal, volume 34, issue 4, 2012, Pages 603~614
DOI : 10.5831/HMJ.2012.34.4.603
Abstract
Gottlieb polynomials were introduced and investigated in 1938, and then have been cited in several articles. Very recently Khan and Akhlaq introduced and investigated Gottlieb polynomials in two and three variables to give their generating functions. Subsequently, Khan and Asif investigated the generating functions for the
-analogue of Gottlieb polynomials. In this sequel, by modifying Khan and Akhlaq's method, Choi presented a generalization of the Gottlieb polynomials in
variables to present two generating functions of the generalized Gottlieb polynomials
. Here, we show that many formulas regarding the Gottlieb polynomials in m variables and their reducible cases can easily be obtained by using one of two generating functions for Choi's generalization of the Gottlieb polynomials in m variables expressed in terms of well-developed Lauricella series
.