• Kyungpook Mathematical Journal
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• v.56 no.1
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• pp.131-136
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• 2016

The main object of this paper is to present two general integral formulas whose integrands are the integrand given in the integral formula (3) and a finite product of the generalized Bessel function of the first kind.

• Kyungpook Mathematical Journal
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• v.59 no.2
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• pp.325-333
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• 2019

Motivated by the results on generating functions investigated by H. Exton and many other authors, we derive certain (presumably) new generating functions for generalized Mittag-Leffler-type functions. Specifically, we introduce a new class of generating relations (which are partly bilateral and partly unilateral) involving the generalized Mittag-Leffler function. Also we present some special cases of our main result.

• Nonlinear Functional Analysis and Applications
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• v.26 no.1
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• pp.177-195
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• 2021

In this paper, we introduce the modification of a generalized (Ψ, L)-weak contraction and we prove some coincidence point results for self-mappings G, T and S, and some fixed point results for some maps by using a (c)-comparison function and a comparison function in the sense of a b-metric space.

• Kyungpook Mathematical Journal
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• v.56 no.2
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• pp.451-464
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• 2016

In this paper, we investigate the uniqueness problem of a meromorphic function sharing one small function with its differential polynomial, and give a result which is related to a conjecture of R. $Br{\ddot{u}}ck$.

• Nonlinear Functional Analysis and Applications
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• v.26 no.5
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• pp.949-959
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• 2021

In this paper, some fixed point theorems for new type of (𝜉, 𝛽)-expansive mappings of type (S) and type (T) using control function and 𝛽-admissible function in 𝒢-metric spaces are proved. Further, we prove certain fixed point results by relaxing the continuity condition.

• Journal of Korean Medicine Rehabilitation
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• v.15 no.1
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• pp.39-65
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• 2005

Objectives : This study was aimed to find out correlation of relation between cardiopulmonary function and body fat. Methods : We studied tendency of change of cardiopulmonary function and body fat for medication of Ephedrae Herba capsule by ergogenic aids with circuit training. We got the results for Exercise stress test and Segmental Bioelectrical Impedence Analysis. Results : 1. Sample Group of Ephedrae Herba medication and Circuit training generally showed the insignificant improvement of Body composition, but Control Group of Placebo and Circuit training significantly(p<.05) showed significant improvement of Body composition. 2. Sample Group of Ephedrae Herba medication and Circuit training generally showed the significant improvement of cardio-pulmonary function. Control Group of Placebo and Circuit training showed insignificant elevation of Cardiopulmonary function. 3. In the case of Sample Group, there wasn't closely correlation relationship of improvement of cardiopulmonary function and body composition, but in the case of Control Group, there was closely correlation relationship of improvement of cardiopulmonary function and body composition. Conclusions : It might be recognized that cardiopulmonary function has the correlation of body composition, and Ephedrae Herba might help the reduction of Body Fat by elevation of Cardiopulmonary function for ergogenic aids and it might be needed further study In various viewpoints.

• Communications of the Korean Mathematical Society
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• v.35 no.4
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• pp.1171-1184
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• 2020

This paper presents several fractional generalizations and extensions of known integral inequalities. To obtain these, an extended generalized Mittag-Leffler function and its fractional integral operator are used.

• Bulletin of the Korean Chemical Society
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• v.29 no.7
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• pp.1412-1414
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• 2008

• Journal of the Chungcheong Mathematical Society
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• v.31 no.1
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• pp.131-135
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• 2018

In this article, we deal with notion of idempotent in dynamical systems and prove that both closure function and orbital function are idempotent functions on the systems.

• Communications of the Korean Mathematical Society
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• v.36 no.3
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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.