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- 발행기관 : The Youngnam Mathematical Society Korea (검색결과 669 건)
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MATHEMATICAL CONSTANTS ASSOCIATED WITH THE MULTIPLE GAMMA FUNCTIONS
Jung, Myung-Ho,Cho, Young-Joon,Choi, June-Sang The Youngnam Mathematical Society Korea 2005 East Asian mathematical journal Vol.21 No.1
The theory of multiple Gamma functions was studied in about 1900 and has, recently, been revived in the study of determinants of Laplacians. There is a class of mathematical constants involved naturally in the multiple Gamma functions. Here we summarize those mathematical constants associated with the Gamma and multiple Gamma functions and will show how they are involved, if possible.
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Avdeenko, T.V.,Je, Hai-Gon The Youngnam Mathematical Society Korea 2000 East Asian mathematical journal Vol.16 No.2
The problem of solution uniqueness to the task of determining unknown parameters of mathematical models from input-output observations is studied. This problem is known as structural identifiability problem. We offer a new approach for testing structural identifiability of linear state space models. The approach compares favorably with numerous methods proposed by other authors for two main reasons. First, it is formulated in obvious mathematical form. Secondly, the method does not involve unfeasible symbolic computations and thus allows to test identifiability of large-scale models. In case of non-identifiability, when there is a set of solutions to the task, we offer a method of computing functions of the unknown parameters which can be determined uniquely from input-output observations and later used as new parameters of the model. Such functions are called parametric functions capable of estimation. To develop the method of computation of these functions we use Lie group transformation theory. Illustrative example is given to demonstrate applicability of presented methods.
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ON GENERALIZED WRIGHT'S HYPERGEOMETRIC FUNCTIONS AND FRACTIONAL CALCULUS OPERATORS
Raina, R.K. The Youngnam Mathematical Society Korea 2005 East Asian mathematical journal Vol.21 No.2
In the present paper we first establish some basic results for a substantially more general class of functions defined below. The results include simple differentiation and fractional calculus operators(integration and differentiation of arbitrary orders) for this class of functions. These results are then invoked in determining similar properties for the generalized Wright's hypergeometric functions. Further, norm estimate of a certain class of integral operators whose kernel involves the generalized Wright's hypergeometric function, and its composition(and other related properties) with the fractional calculus operators are also investigated.
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ON FUZZY DIMENSION OF N-GROUPS WITH DCC ON IDEALS
Bhavanari, Satyanarayana,Kuncham, Syam Prasad,Tumurukota, Venkata Pradeep Kumar The Youngnam Mathematical Society Korea 2005 East Asian mathematical journal Vol.21 No.2
In this paper we consider the fuzzy ideals of N-group G where N is a near-ring. We introduce the concepts: minimal elements, fuzzy linearly independent elements, and fuzzy basis of an N-group G and obtained fundamental related results.
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ON THE CLASS OF $S_3$-ALGEBRAS
Nisar, Farhat,Bhatti, Shaban Ali The Youngnam Mathematical Society Korea 2005 East Asian mathematical journal Vol.21 No.2
In this paper we investigate some more properties of of $S_3$-algebras. We also prove that the class of $S_3$-algebras is contained in the class of commutative BCI-algebras.
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A KL-PRODUCT OF FINITE BCI-ALGEBRAS
Habil, Ahmad The Youngnam Mathematical Society Korea 2005 East Asian mathematical journal Vol.21 No.2
We have proved that a finite BCI-algebra(X, *, 0) is a KL-product if and only if for any subset I of X such that $I{\times}X{\subseteq}I$ the cardinality of $0{\times}X$ divides the cardinality of I.
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Lee, Dong-Soo,Park, Chul-Hwan,Kim, Jong-Heon The Youngnam Mathematical Society Korea 2005 East Asian mathematical journal Vol.21 No.2
We will introduce the notion of fuzzy multiplication ring using fuzzy ideal. In this paper we will show that a fuzzy ideal I is primary if radI is prime. And we will investigate some properties related the theorem.
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Irmak, H.,Raina, R.K. The Youngnam Mathematical Society Korea 2005 East Asian mathematical journal Vol.21 No.2
This paper investigates some results (Theorems 2.1-2.3, below) concerning certain classes of analytic and univalent functions, involving the familiar fractional derivative operators. We state interesting consequences arising from the main results by mentioning the cases connected with the starlikeness, convexity, close-to-convexity and quasi-convexity of geometric function theory. Relevant connections with known results are also emphasized briefly.
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CAS IMPLEMENTATION OF RECURSIVE STRUCTURE IN A SPANNING TREE
Song, Kee-Hong The Youngnam Mathematical Society Korea 2005 East Asian mathematical journal Vol.21 No.2
Experimentation using computer plays an important part in education and research in graph theory. The purpose of this paper is to develop the CAS techniques for the hands-on approach in graph theory specifically on the topic of constructing the spanning tree. This paper discusses the advantages of CAS as the software system for doing graph theory and introduces the software solutions integrating multimedia user interface developed by the author, which extend the functionality of the existing CAS-based graph theory software package.
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