Showing papers in "Communications of The Korean Mathematical Society in 2018"

Tubes of finite Chen-type

Abstract: In this paper, we consider surfaces in the 3-dimensional Euclidean space E3 which are of finite III-type, that is, they are of finite type, in the sense of B.-Y. Chen, corresponding to the third fundamental form. We present an important family of surfaces, namely, tubes in E3 .We show that tubes are of infinite III-type.

ON EULERIAN q-INTEGRALS FOR SINGLE AND MULTIPLE q-HYPERGEOMETRIC SERIES

Abstract: In this paper we extend the two q-additions with powers in the umbrae, define a q-multinomial-coefficient, which implies a vector version of the q-binomial theorem, and an arbitrary complex power o ...

Redheffer type inequalities for the Fox-Wright functions

Abstract: In this chapter, new sharpened Redheffer-type inequalities related to the Fox–Wright functions are established. As consequence, we show new Redheffer-type inequalities for hypergeometric functions and for the four-parametric Mittag-Leffler functions with best possible exponents.

Classification of a family of ribbon 2-knots with trivial Alexander polynomial

Abstract: We consider a family of ribbon 2-knots with trivial Alexander polynomial. We give nonabelian SL(2, C)-representations from the groups of these knots, and then calculate the twisted Alexander polynomials associated to these representations, which allows us to classify this family of knots.