• Kyungpook Mathematical Journal
• /
• v.58 no.2
• /
• pp.243-255
• /
• 2018

We introduce several k-uniformly subclasses of p-valent functions defined by the generalized fractional differintegral operator and investigate various inclusion relationships for these subclasses. Some interesting applications involving certain classes of integral operators are also considered.

• Journal of applied mathematics & informatics
• /
• v.40 no.5_6
• /
• pp.1021-1034
• /
• 2022

In this article, authors derived Petrović's type inequalities for a class of functions, namely, called exponentially h-convex functions. Also, the associated results for coordinates has been derived by defining exponentially h-convex functions on coordinates.

• Honam Mathematical Journal
• /
• v.34 no.4
• /
• pp.473-482
• /
• 2012

While investigating the Lauricella's list of 14 complete second-order hypergeometric series in three variables, Srivastava noticed the existence of three additional complete triple hypergeo-metric series of the second order, which were denoted by $H_A$, $H_B$ and $H_C$. Each of these three triple hypergeometric functions $H_A$, $H_B$ and $H_C$ has been investigated extensively in many different ways including, for example, in the problem of finding their integral representations of one kind or the other. Here, in this paper, we aim at presenting further integral representations for the Srivatava's triple hypergeometric function $H_C$.

• Korean Journal of Mathematics
• /
• v.24 no.2
• /
• pp.139-168
• /
• 2016

In this work, we rst introduce a class of analytic functions involving the Dziok-Srivastava linear operator that generalizes the class of uniformly starlike functions with respect to symmetric points. We then establish the closure of certain well-known integral transforms under this analytic function class. This behaviour leads to various radius results for these integral transforms. Some of the interesting consequences of these results are outlined. Further, the lower bounds for the ratio between the functions f(z) in the class under discussion, their partial sums $f_m(z)$ and the corresponding derivative functions f'(z) and $f^{\prime}_m(z)$ are determined by using the coecient estimates.

• Fashion & Textile Research Journal
• /
• v.25 no.3
• /
• pp.379-385
• /
• 2023

Recently, with the development of IT technology, interest in mobile applications has increased, and as products and contents that go beyond existing services are released in the beauty industry, interest is steadily increasing. Accordingly, various studies have been conducted, but studies analyzing the functions of beauty applications have been insufficient. Therefore, this study aims to analyze the functions of beauty applications and help in the development and development of future beauty applications. The research method analyzed the functions of beauty applications that have been downloaded more than 100 million through the Google Play Store, and the search period was from October 11, 2020 to November 3, 2020. As a result of the study, it was found that there is a difference in the name of the function, the function being provided, and the application method of the function for each application. As a result of function analysis, a total of 36 functions were classified, and it was analyzed that 30 functions were provided in YCM, 14 functions in YCP, 21 functions in BP, and 10 functions in SS. Therefore, by analyzing the functions of beauty applications through this study, we intend to provide useful data in the future development of beauty applications and help in the development of beauty applications.

• Transactions of the Korean Society of Mechanical Engineers A
• /
• v.31 no.3 s.258
• /
• pp.365-372
• /
• 2007

Revisited in this paper are Green's functions for unit concentrated forces in an infinite orthotropic Kirchhoff plate. Instead of obtaining Green's functions expressed in explicit forms in terms of Barnett-Lothe tensors and their associated tensors in cylindrical or dual coordinates systems, presented here are Green's functions expressed in two quasi-harmonic functions in a Cartesian coordinates system. These functions could be applied to thin plate problems regardless of whether the plate is homogeneous or inhomogeneous in the thickness direction. With a composite variable defined as $z=x_1+ipx_2$ which is adopted under the necessity of expressing the Green's functions in terms of two quasi-harmonic functions in a Cartesian coordinates system Stroh-like formalism for orthotropic Kirchhoffplates is evolved. Using some identities of logarithmic and arctangent functions given in this paper, the Green's functions are presented in terms of two quasi-harmonic functions. These forms of Green's functions are favorable to obtain the Newtonian potentials associated with defect problems. Thus, the defects in the orthotropic plate may be easily analyzed by way of the Green's function method.

• Journal of Korea Society of Digital Industry and Information Management
• /
• v.9 no.4
• /
• pp.1-10
• /
• 2013

Recently many documents have been written by HTML due to the expansion of the Internet and WWW. HTML allows scripting languages to interact between an user and an browser. Sometimes there might have problems with some functions of the script language. Some functions have the same name although the different contents and vice versa. It presents tremendous difficulties to maintain the functions. And, a file includes many functions shared among documents. If a user tries to see a HTML document, the file will be sent to the web browser in the user system. The network resource is wasted due to moving all data in the file through the network although some functions in the file is not used. So, we should design and implement the code library of a script language with a database. Each function has the name and arguments. A system of the code library manages functions with them. The system has the functions consistency and reduces the network resource consumption because there are only necessary functions in documents. Beside it is easy for the system to modify and reuse the functions.

• Journal of Information Science Theory and Practice
• /
• v.8 no.4
• /
• pp.6-19
• /
• 2020

The objective of this research is to analyze which functions make up web-based as well as mobile social media services and messengers. Services are clustered by their functionality. A total of 640 individual functions were identified, while investigating altogether 44 selected services in their web and mobile versions. Applying content analysis, functions were assigned to the services. The services were ranked by the number of implemented functions, and the functions were ranked by their occurrence in the services. Cluster analysis was applied to classify the services according to their functionality. Facebook and VKontakte were found to be the ones with the most functions; the most frequently implemented functions are support, profile, and account-related. Cluster analysis revealed six classes for mobile and seven classes for web applications. There is a noteworthy difference regarding the functionality scope between web and mobile applications of the same services. An example for this is Mendeley with 38 functions in the mobile and 91 functions in the web version. This is the first empirical attempt at clustering social media services based on their functionality.

• Journal of the Korean Mathematical Society
• /
• v.53 no.2
• /
• pp.363-379
• /
• 2016

Motivated mainly by certain interesting recent extensions of the generalized hypergeometric function [Integral Transforms Spec. Funct. 23 (2012), 659-683] and the second Appell function [Appl. Math. Comput. 219 (2013), 8332-8337] by means of the incomplete Pochhammer symbols $({\lambda};{\kappa})_{\nu}$ and $[{\lambda};{\kappa}]_{\nu}$, we introduce here the family of the incomplete generalized ${\tau}$-hypergeometric functions $2{\gamma}_1^{\tau}(z)$ and $2{\Gamma}_1^{\tau}(z)$. The main object of this paper is to study these extensions and investigate their several properties including, for example, their integral representations, derivative formulas, Euler-Beta transform and associated with certain fractional calculus operators. Further, we introduce and investigate the family of incomplete second ${\tau}$-Appell hypergeometric functions ${\Gamma}_2^{{\tau}_1,{\tau}_2}$ and ${\gamma}_2^{{\tau}_1,{\tau}_2}$ of two variables. Relevant connections of certain special cases of the main results presented here with some known identities are also pointed out.

• Honam Mathematical Journal
• /
• v.39 no.4
• /
• pp.591-601
• /
• 2017

In this paper, by means of the $S{\breve{a}}l{\breve{a}}gean$ operator, we introduce a new subclass $\mathcal{B}^{m,n}_{\Sigma}({\gamma};{\varphi})$ of analytic and bi-univalent functions in the open unit disk $\mathbb{U}$. For functions belonging to this class, we consider Fekete-$Szeg{\ddot{o}}$ inequalities.