• Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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• v.25 no.1
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• pp.63-68
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• 2007

The computations of an ultra-high degree associated Legendre functions and its first derivative up to degree and order of 10800 are reported. Not only the magnitude of orders for the ultra-high degree calculation is presented but the numerical stability and accuracy of the computed values are described in detail. The accuracy on the order of $10^{-25}\;and\;10^{-15}$ was obtained for the values of Legendre function and the first derivatives of Legendre functions, respectively. The computable highest degree and order of Legendre function in terms of latitudes and the linear relationship between the magnitude of the function with respect to degrees and orders is found. It is expected that the computed Legendre functions contribute in many geodetic and geophysical applications for simulations as well as theoretical verifications.

• Proceedings of the KIEE Conference
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• 1996.11a
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• pp.3-5
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• 1996

The Preisach model needs density function or Everett function for the sample material to calculate the hysteresis characteristics. To obtain these functions, many experimental data obtained from the first order transition curves are required. However, it is not simple task to measure the curves. In this paper, a simple generalized technique to get the Everett function using saturation hysteresis loop and two first order transition curves is proposed. These three data makes three equations for the proposed Everett function model and we can get three variables by those equations. From the simulation, we got acceptable results.

• Kyungpook Mathematical Journal
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• v.47 no.3
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• pp.341-345
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• 2007

In this paper we show that the second order mock theta function, given by Hikami, is bounded and satisfies the second condition for the mock theta functions.

• The Pure and Applied Mathematics
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• v.30 no.3
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• pp.269-288
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• 2023

In this paper we study the effect of integer translation on Nevanlinna's characteristic function of a meromorphic function. Also, we investigate comparative growth of integer translated entire and meromorphic functions under different conditions.

• Journal of the Institute of Electronics Engineers of Korea SC
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• v.43 no.3 s.309
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• pp.1-7
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• 2006

In this paper, a method for IMC-PID controller tuning is proposed based on obtaining a controller from closed-loop transfer function. It is considered a plant with the second-order plus dead time(SOPDT) model and selected the third-order plus dead time transfer function model as a target function. The filter function is derived from the suitable target function to satisfy the design specifications. A robustness test was done to verify the robust-stability.

• Journal of the Korean Institute of Telematics and Electronics C
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• v.34C no.5
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• pp.33-42
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• 1997

In this paper, the modified inverse chebyshev low-pass function is analyzed in the frequency domain, time domain, and sensitivity characteristics as compared with the classical inverse chebyshev function. Unlike the classical function, the modified function exhibits progressively diminishing ripples in the stopband. So, the modified function has a great attenuation throughout the stopband except at the vicinity of a stop frequency and can be realizable in the passive doubly-terminated ladder network for the even order. The poles of the modified function move towards real axis by the effect of diminishing ripples. Thus the pole-Q, which is one of the valuable measurements to estimage the function characteristics, is reduced without increasing order. In the frequency and can be realizable in the passive doubly-terminated ladder network to examine the magnitude and pole-Q sensitivities.

• Journal of applied mathematics & informatics
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• v.26 no.3_4
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• pp.549-561
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• 2008

In this paper, we construct a pair of Wolfe type second order symmetric dual problems, in which each component of the objective function contains support function and is, therefore, nondifferentiable. For this problem, we validate weak, strong and converse duality theorems under bonvexity - boncavity assumptions. A second order self duality theorem is also proved under additional appropriate conditions.

• Communications of the Korean Mathematical Society
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• v.33 no.2
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• pp.485-494
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• 2018

In this paper some newly developed results based on the growth properties of relative order (relative lower order), relative type (relative lower type) and relative weak type of entire and meromorphic functions on the basis of integer translation applied upon them are investigated.

• Communications of the Korean Mathematical Society
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• v.35 no.1
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• pp.229-241
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• 2020

For a second order linear differential equation f" + A(z)f' + B(z)f = 0, with A(z) and B(z) being transcendental entire functions under some restrictions, we have established that all non-trivial solutions are of infinite order. In addition, we have proved that these solutions, with a condition, have exponent of convergence of zeros equal to infinity. Also, we have extended these results to higher order linear differential equations.

• Journal of the Chungcheong Mathematical Society
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• v.29 no.3
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• pp.385-396
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• 2016

Characterizations of probability distributions by different regression conditions on generalized order statistics has attracted the attention of many researchers. We present here, characterization of Pareto and Weibull distributions based on the conditional expectation of generalized order statistics extending the characterization results reported by Jin and Lee (2014). We also present a characterization of the power function distribution based on the conditional expectation of lower generalized order statistics.