• Bulletin of the Korean Mathematical Society
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• v.60 no.3
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• pp.575-591
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• 2023

Motivated by several generalizations of the Pochhammer symbol and their associated families of hypergeometric functions and hypergeometric polynomials, by choosing to use a very generalized Pochhammer symbol, we aim to introduce certain extensions of the generalized Lauricella function F⁽ⁿ⁾_A and the Humbert's confluent hypergeometric function Ψ⁽ⁿ⁾ of n variables with, as their respective particular cases, the second Appell hypergeometric function F₂ and the generalized Humbert's confluent hypergeometric functions Ψ₂ and investigate their several properties including, for example, various integral representations, finite summation formulas with an s-fold sum and integral representations involving the Laguerre polynomials, the incomplete gamma functions, and the Bessel and modified Bessel functions. Also, pertinent links between the major identities discussed in this article and different (existing or novel) findings are revealed.

• PNF and Movement
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• v.22 no.2
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• pp.289-303
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• 2024

Purpose: In this study, 100 stroke patients and 205 physical therapists were surveyed to determine the essential functions needed in the rehabilitation process of stroke patients. Methods: This study involved 100 stroke patients and 205 physical therapists. Sixteen functions suggested in the previous study as necessary in the rehabilitation process of stroke patients were selected, and a revised questionnaire was prepared and distributed to several institutions. A frequency analysis of the collected data was conducted to aggregate the functions required in rehabilitation, and a scoring process was used to determine their ranking among the 16 functions. Results: The functions required in the rehabilitation process, as selected by stroke patients, were ranked as follows: walking, toileting, eating, using products and technology for communication, and washing oneself. The functions required in the rehabilitation process, as selected by physical therapists, were ranked as follows: muscle power functions, maintaining body position, muscle tone functions, attention functions, and walking. Conclusion: The results of the study confirm the importance of an agreed goal between the stroke patient and the therapist regarding the functions required for the rehabilitation. This understanding plays a significant role in achieving the patient's expectations and the therapist's predicted performance, thereby providing reassurance and confidence in the impact of the research.

• Bulletin of the Korean Mathematical Society
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• v.44 no.3
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• pp.523-536
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• 2007

Sharp error estimates in approximating the Stieltjes integral with bounded integrands and bounded integrators respectively, are given. Applications for three point quadrature rules of n-time differentiable functions are also provided.

• East Asian mathematical journal
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• v.4
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• pp.41-56
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• 1988

In this work we obtain inequalities for coefficients related to functions belonging to two subclasses of univalent functions with negative coefficients, bounds for the modulus of these functions and their derivatives, and the extreme points of these classes. We also show an application of functions belonging to these classes to the fractional calculus.

• Proceedings of the Korean Society for Applied Microbiology Conference
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• 2002.10a
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• pp.88-88
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• 2002

• Bulletin of the Korean Mathematical Society
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• v.53 no.6
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• pp.1645-1650
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• 2016

In this article, we establish a characterization of meromorphic functions and L-functions in the extended Selberg class, which shows that how they are uniquely determined by their c-values.

• Journal of applied mathematics & informatics
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• v.35 no.5_6
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• pp.449-457
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• 2017

In this paper, we shall provide several properties of Dedekind sums with quasi-periodicity Euler functions. In particular, we present a representation of these Dedekind sums in terms of the Eulerian functions and the tangent functions.

• Kyungpook Mathematical Journal
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• v.54 no.3
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• pp.365-374
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• 2014

In this paper, we introduce a new subclass of meromorphic functions defined in the punctured unit disc. We derive inclusion relationships, radius problem and some other interesting properties of this class are investigated.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.5 no.2
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• pp.140-144
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• 2005

We investigate the P-generating functions, L-generating functions, and A-generating function, respectively induced by product t-norms, Lukasiewicz t-norms and additive semi-groups. Furthermore, we investigate the relations among them.

• Kyungpook Mathematical Journal
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• v.52 no.1
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• pp.99-107
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• 2012

The purpose of this paper is to introduce two new types of irresolute functions called, completely ${\rho}$-irresolute functions and weakly ${\rho}$-irresolute functions. We obtain their characterizations and their basic properties.