• Kyungpook Mathematical Journal
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• v.19 no.2
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• pp.249-255
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• 1979

In this paper we give a characterization of Stationary Gaussian 2nd order Markov processes in terms of its covariance function $R({\tau})=E[X(t)X(t+{\tau})]$ and also give some relationship among quasi-Markov, Markov and 2nd order Markov processes.

• Journal of the Chungcheong Mathematical Society
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• v.18 no.1
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• pp.95-100
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• 2005

In this paper, we consider the finite form of the continued fraction found in the unorganized material, Entry 9 [2], and give the sum of n terms. We give the $n^{th}$ convergent series in two ways-one by simple expansion and the other by using partition theory.

• Journal of the Chungcheong Mathematical Society
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• v.18 no.2
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• pp.131-143
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• 2005

We give bibasic expansion for basic Appell functions ${\Phi}^{(1)}$ and ${\Phi}^{(2)}$, and their integral representations. We also give a continued fraction representation for ${\Phi}^{(2)}$.

• East Asian mathematical journal
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• v.26 no.3
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• pp.423-427
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• 2010

In this paper, we give an upper bound for dominations of Steinhaus graphs, and the domination numbers of the bipartite Steinhaus graphs. Also, we give an upper bound for Nordhaus-Gaddum type result for the bipartite Steinhaus graphs.

• Kyungpook Mathematical Journal
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• v.58 no.2
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• pp.377-388
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• 2018

In this paper, we define new quaternionic associated curves called quaternionic principal-direction curves and quaternionic principal-donor curves. We give some properties and relationships between Frenet vectors and curvatures of these curves. For spatial quaternionic curves, we give characterizations for quaternionic helices and quaternionic slant helices by means of their associated curves.

• Korean Journal of Mathematics
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• v.16 no.4
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• pp.439-450
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• 2008

In this paper, we give a generalized contractive condition for four self mappings of symmetric spaces and give some results on fixed point theorems in symmetric spaces.

• Honam Mathematical Journal
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• v.28 no.3
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• pp.387-393
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• 2006

We study three conditions which seem similar but a little different on a perturbed Cantor set. Since they give different conditions on a perturbed Cantor set, we have another results corresponding to the conditions. We compare the conditions and give different examples which provide different results.

• Bulletin of the Korean Mathematical Society
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• v.37 no.1
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• pp.53-62
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• 2000

In this paper we explore relations between joint Weyl and Browder spectra. Also, we give a spectral characterization of the Taylor-Browder spectrum for special classes of doubly commuting n-tuples of operators and then give a partial answer to Duggal's question.

• Communications of the Korean Mathematical Society
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• v.31 no.4
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• pp.811-817
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• 2016

Using the periodic continued fraction, we give concrete examples of the points at which the derivatives of the Minkowski question mark function does not exist. We also give examples of the differentiability points which show that recent apparently independent results are consistent and closely related.

• Bulletin of the Korean Chemical Society
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• v.19 no.7
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• pp.760-766
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• 1998

Fluorination of alkenyllithium reagents can be accomplished in acceptable yield under conditions which give rise to low competitive alkene formation. These reactions are abetted by the use of the low temperature soluble, mild fluorinating agent N-fluoro-N-tert-butylbenzenesulfonamide; "simpler" fluorinating reagents such as F2, XeF2 or FClO3 failed to give acceptable amounts of the fluoroolefin with these alkenyllithiums.