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JMB Journal of Microbiolog and Biotechnology

OPEN ACCESS eISSN 0454-8124
pISSN 1225-6951
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Article
30 June 2020

Lightlike Hypersurfaces of an Indefinite Nearly Trans-Sasakian Manifold with an (ℓ,m)-type Connection

Chul Woo Lee, Jae Won Lee∗

Kyungpook Mathematical Journal 2020; 60: 223-238

We study a lightlike hypersurface M of an indefinite nearly trans-Sasakian manifold M-->
Key Words:

A Study of Marichev-Saigo-Maeda Fractional Integral Operators Associated with the S-Generalized Gauss Hypergeometric Function(ℓ,m)-type connection, recurrent, Lie recurrent, lightlike hypersurface, indefinite nearly trans-Sasakian manifold.

Article
30 June 2020

On Alexander Polynomials of Pretzel Links

Yongju Bae* and In Sook Lee

Kyungpook Mathematical Journal 2020; 60: 239-253

In this paper, we will find a Seifert matrix for a class of pretzel links with a certain symmetry. Using the symmetry, we find formulae for the Alexander polynomials, determinants and signatures of the pretzel links.
Key Words:

A Study of Marichev-Saigo-Maeda Fractional Integral Operators Associated with the S-Generalized Gauss Hypergeometric Functiondeterminant of a matrix, Seifert matrix of a link, Alexander polynomial of a link, signatures of a link, pretzel link

Article
30 June 2020

Divide Knot Presentation of Knots of Berge's Sporadic Lens Space Surgery

Yuichi Yamada

Kyungpook Mathematical Journal 2020; 60: 255-277

Divide knots and links, de ned by A'Campo in the singularity theory of complex curves, is a method to present knots or links by real plane curves. The present paper is a sequel of the author's previous result that every knot in the major subfamilies ...
Key Words:

A Study of Marichev-Saigo-Maeda Fractional Integral Operators Associated with the S-Generalized Gauss Hypergeometric FunctionDehn surgery, lens space, plane curve

Article
30 June 2020

Torsion in Homology of Dihedral Quandles of Even Order

Seung Yeop Yang

Kyungpook Mathematical Journal 2020; 60: 279-288

Niebrzydowski and Przytycki conjectured that the torsion of rack and quandle homology of a dihedral quandle of order 2k is annihilated by k, unless k = 2t for t > 1. We partially prove this conjecture.
Key Words:

A Study of Marichev-Saigo-Maeda Fractional Integral Operators Associated with the S-Generalized Gauss Hypergeometric Functiondihedral quandle, rack and quandle homology, torsion subgroup

Article
30 June 2020

Minkowski's Inequality for Variational Fractional Integrals

Azizollah Babakhani

Kyungpook Mathematical Journal 2020; 60: 289-295

Minkowski's inequality is one of the most famous inequalities in mathematics, and has many applications. In this paper, we give Minkowski's inequality for generalized variational integrals that are based on a supermultiplicative function. Our results...
Key Words:

A Study of Marichev-Saigo-Maeda Fractional Integral Operators Associated with the S-Generalized Gauss Hypergeometric Functioninequality, Riemann-Liouville fractional integral, variational integral

Article
30 June 2020

Comparative Analysis of Spectral Theory of Second Order Difference and Differential Operators with Unbounded Odd Coefficient

Fredrick Oluoch Nyamwala∗, David Otieno Ambogo, Joyce Mukhwana Ngala

Kyungpook Mathematical Journal 2020; 60: 297-305

We show that selfadjoint operator extensions of minimal second order difference operators have only discrete spectrum when the odd order coefficient is unbounded but grows or decays according to specific conditions. Selfadjoint operator extensions of...
Key Words:

A Study of Marichev-Saigo-Maeda Fractional Integral Operators Associated with the S-Generalized Gauss Hypergeometric Functiondifferential operators, selfadjoint realisations, deficiency indices, spectrum

Article
30 June 2020

Rings which satisfy the Property of Inserting Regular Elements at Zero Products

Hong Kee Kim, Tai Keun Kwak*, Yang Lee et al.

Kyungpook Mathematical Journal 2020; 60: 307-318

This article concerns the class of rings which satisfy the property of inserting regular elements at zero products, and rings with such property are called regular-IFP. We study the structure of regular-IFP rings in relation to various ring pr...
Key Words:

A Study of Marichev-Saigo-Maeda Fractional Integral Operators Associated with the S-Generalized Gauss Hypergeometric Functionregular-IFP ring, regular element, IFP ring, polynomial ring, generalized reduced ring

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