• 한국통신학회논문지
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• 제28권7A호
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• pp.503-510
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• 2003

CDMA 셀룰라 시스템은 같은 시간에 같은 주파수를 모든 사용자들이 같이 사용하므로 자기 신호 외의 다른 사용자의 신호는 간섭으로 나타나 통신 품질에 영향을 미친다. 이 간섭의 양에 따라 단위 셀당 사용자 수로 정의되는 시스템의 용량이 결정되며 간섭량의 정확한 계산이 이루어져야 시스템 성능 평가를 정확히 할 수 있다. 본 논문은 임의의 겹(tiers) 구조를 갖는 다중 셀 구성의 CDMA 셀룰라 시스템의 타셀 간섭량을 계산하기 위해 Riemann-Zeta 함수를 이용하여 임의의 전파 감쇄 지수에도 적용할 수 있는 근사식을 제안하였고, 제안된 식의 수치 결과와 시뮬레이션 결과를 비교하여 그 효용을 살펴보았다. 제안된 근사식을 이용해 계산한 타셀 간섭량과 시스템 용량은 시뮬레이션을 통해 얻은 결과를 중심으로 상한과 하한을 이루고 있으며 겹 수에 따른 값의 변화가 평균 간섭 및 용량 계산치와 일치하는 결과를 얻었다. 제안된 타셀 간섭 근사식은 복합적인 전파 환경이 공존하는 계층셀(Hierarchical Cellular) 시스템에서의 간섭 및 용량 계산과 알고리즘 검증에 유용하게 사용될 수 있을 것으로 생각된다.

• East Asian mathematical journal
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• 제32권3호
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• pp.311-317
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• 2016

In this paper, we investigate several properties of quaternionic functions. We research some dierentials of quaternionic functions, and relations between the dierentials and the corresponding Cauchy Riemann system in Clifford analysis

• Journal of applied mathematics & informatics
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• 제33권1_2호
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• pp.119-125
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• 2015

In this note, two new mappings associated with convexity are propoesd, by which we obtain some new Hermite-Hadamard type inequalities for convex functions via Riemann-Liouville fractional integrals. We conclude that the results obtained in this work are the refinements of the earlier results.

• East Asian mathematical journal
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• 제33권3호
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• pp.309-315
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• 2017

In this paper, we investigate the regularities of the hyper-complex valued functions of the split quaternion variables. We define several differential operators for the split qunaternionic function. We research several left split regular functions for each differential operators. We also investigate split harmonic functions. And we find the corresponding Cauchy-Riemann system and the corresponding Cauchy theorem for each regular functions on the split quaternion field.

• East Asian mathematical journal
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• 제18권2호
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• pp.219-224
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• 2002

Recently the theory of the multiple Gamma functions, which were studied by Barnes and others a century ago, has been revived in the study of determinants of Laplacians. Here we are aiming at evaluating the values of the multiple Gamma functions ${\Gamma}_n(\frac{1}{2})$ in terms of the Hurwitz or Riemann Zeta functions.

• 대한수학회보
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• 제49권1호
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• pp.165-174
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• 2012

In this paper, we construct a p-adic analogue of multiple Riemann zeta values and express their values at non-positive integers. In particular, we obtain a new congruence of the higher order Frobenius-Euler numbers and the Kummer congruences for the Bernoulli numbers as a corollary.

• 호남수학학술지
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• 제42권4호
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• pp.653-665
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• 2020

In this paper, we establish new integral inequalities via Riemann-Liouville fractional integrals and Katugampola fractional integrals for the class of functions whose derivatives in absolute value are exponentially convex functions and exponentially s-convex functions in the second sense.

• 대한수학회지
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• 제59권4호
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• pp.775-787
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• 2022

Sufficient conditions for the Jensen polynomials of the derivatives of a real entire function to be hyperbolic are obtained. The conditions are given in terms of the growth rate and zero distribution of the function. As a consequence some recent results on Jensen polynomials, relevant to the Riemann hypothesis, are extended and improved.

• 대한수학회논문집
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• 제36권3호
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• pp.557-573
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• 2021

In this present paper, we consider four integrals and differentials containing the Gauss' hypergeometric ₂F₁(x) function in the kernels, which extend the classical Riemann-Liouville (R-L) and Erdélyi-Kober (E-K) fractional integral and differential operators. Formulas (images) for compositions of such generalized fractional integrals and differential constructions with the n-times product of the generalized modified Bessel function of the second type are established. The results are obtained in terms of the generalized Lauricella function or Srivastava-Daoust hypergeometric function. Equivalent assertions for the Riemann-Liouville (R-L) and Erdélyi-Kober (E-K) fractional integral and differential are also deduced.

• Journal of applied mathematics & informatics
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• 제37권5_6호
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• pp.341-349
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• 2019

This paper is concerned to investigate M-Wright function, which was earlier known as transcendental function of the Wright type. M-Wright function is a special case of the Wright function given by British mathematician (E.Maitland Wright) in 1933. We have explored the cosequences of Riemann-Liouville Integral and Differential operators on M-Wright function. We have also evaluated integral transforms of the M-Wright function.