• Journal of applied mathematics & informatics
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• v.22 no.1_2
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• pp.125-132
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• 2006

It is the aim of this paper to introduce the Genocchi numbers Gn and polynomials Gn(x) and to display the shape of Genocchi polynomials Gn(x). Finally, we investigate the roots of the Genocchi polynomials Gn(x).

• Journal of applied mathematics & informatics
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• v.19 no.1_2
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• pp.545-550
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• 2005

We find a necessary and sufficient condition that the number of some Betti numbers and shifts appear in the last free module Fn of Fx based on type vectors, where X is a finite set of points in $P^n$.

• Journal of applied mathematics & informatics
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• v.36 no.5_6
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• pp.541-553
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• 2018

We introduce q-special numbers and polynomials with q-exponential distribution. From these numbers and polynomials we derive some properties and identites. We also find approximated zeros of q-special polynomials and investigate property of two parameters ${\lambda}$, q.

• Bulletin of the Korean Mathematical Society
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• v.34 no.4
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• pp.617-626
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• 1997

This paper is concerned with the general strong law of large numbers for pairwise independent distributed random variables. Necessary and sufficient conditions for the SLLN are obtained.

• Bulletin of the Korean Mathematical Society
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• v.52 no.6
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• pp.2001-2010
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• 2015

In this paper, we give explicit and new identities for the Bernoulli numbers of the second kind which are derived from a non-linear differential equation.

• Journal of applied mathematics & informatics
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• v.12 no.1_2
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• pp.49-57
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• 2003

In this paper, we give some sufficient conditions for convergence of geometric mean for T-related fuzzy numbers where T is an Archimedean t-norm under some mild restrictions. These results generalize earlier results of Hong and Lee [Fuzzy Sets and Systems 116 (2000) 263-267].

• Journal of the Chungcheong Mathematical Society
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• v.25 no.2
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• pp.341-347
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• 2012

The Reidemeister orbit set plays a crucial role in the Nielsen type theory of periodic orbits, much as the Reidemeister set does in Nielsen fixed point theory. Extending our work on Reidemeister orbit sets, we improve our theorem for formulae for Nielsen type essential orbit numbers.

• East Asian mathematical journal
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• v.28 no.1
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• pp.93-99
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• 2012

Dealternating numbers and alternation numbers measure the distance between the link and an alternating links. In the present article, we show that classical link invariants; the determinant, signature and Alexander polynomial can not detect the almost alternativity of links.

• Honam Mathematical Journal
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• v.42 no.1
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• pp.49-62
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• 2020

In this paper, we consider interesting binomial and alternating binomial triple sums evaluated in multiplication forms in terms of the Fibonacci and Lucas numbers.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2005.04a
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• pp.143-146
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• 2005

In this paper, we define correlation coeeficients of interval-valued fuzzy numbers by utilizing Choquet integrals. Also we discuss some properties of them.