Uniformly convex spiral functions and uniformly spirallike functions associated with Pascal distribution series

summary:The aim of this paper is to find the necessary and sufficient conditions and inclusion relations for Pascal distribution series to be in the classes $\mathcal {SP}_{p}(\alpha ,\beta )$ and $\mathcal {UCV}_{p}(\alpha ,\beta )$ of uniformly spirallike functions. Further, we consider an integral operator related to Pascal distribution series. Several corollaries and consequences of the main results are also considered

The effect of digital marketing capabilities on organizational ambidexterity of the information technology sector

The aim of the study was to examine the impact of digital marketing capabilities on organizational ambidexterity by focusing on the Information Technology Sector in UAE. Data were primarily gathered through self-reported questionnaires created by Google Forms which were distributed to a purposive sample of managers at different levels via email. This study was conducted structural equation modeling (SEM) to test the hypotheses, which represents a contemporary statistical technique for testing and estimating the relationship between factors and variables. The results showed that the highest impact on organizational ambidexterity was for strategic approach and data content infrastructure, followed by integrating customers with employees, and finally the lowest impact belonged to the process of improving performance. Based on the study findings, the researcher hopes that the decision-makers and managers define all tasks, roles and work procedures in companies through digital marketing systems to improve their organizational ambidexterity and enhance their performance

The role of digital marketing, CSR policy and green marketing in brand development

Corporate Social Responsibility (CSR) policy, digital marketing and green marketing are considered as some of the most emerging topics. However, the major problem is associated with the lack of CSR policies, development and adaptation of green marketing in the companies operating in manufacturing companies in the UK. In this manner, this study aimed to determine the role of digital marketing, CSR policies and green marketing in brand development. Concerning this, the case of UK’s manufacturing companies was considered which can help the manufacturing companies operating in the UK to make the development of brand more effective, as the consumers would perceive the brand which complies with the environmental laws. To attain the aim, the researchers utilized a quantitative method of data collection where a close-ended survey questionnaire was utilized. The data was collected from the concerned participants working in the manufacturing sector of the UK and the sample size considered for the analysis was based on 404 participants. The analysis was conducted using Structural Equation Modeling (SEM) on Smart PLS. The analysis revealed that the overall impact of green marketing, CSR policy and digital marketing was statistically significant on the brand development of UK’s manufacturing companies. Considering this, it has been recommended to the manufacturing companies in the UK to focus on environmental disclosure, green innovation, green alliance and promotional activity for the purpose of ensuring brand development. However, this study is limited to the geographical bounds of the UK; therefore, it has a certain room for future research

Coefficient Inequalities for Certain Class of Analytic Functions of Complex Order

In this paper, we define the class b Lbα of normalized analytic functions of complex order in the open unit disk, sufficient condition involving coefficient inequalities for f(z) to be in the class b Lbα of analytic functions is obtained. Our main results contain some interesting corollaries as special case

Subordination Results for Classes of Functions of Reciprocal Order

[[abstract]]In this paper, we introduce the subclassesM^(-1)(α), N^(-1)(α), (M^∗)^(-1)(α) and (N^∗)^(-1)(α) of analytic functions of reciprocal order α. Coefficient inequalities and an interesting subordination results are obtained

Subclasses of Bi-Univalent Functions Defined by Frasin Differential Operator

Let Ω denote the class of functions f ( z ) = z + a 2 z 2 + a 3 z 3 + ⋯ belonging to the normalized analytic function class A in the open unit disk U = z : z < 1 , which are bi-univalent in U , that is, both the function f and its inverse f − 1 are univalent in U . In this paper, we introduce and investigate two new subclasses of the function class Ω of bi-univalent functions defined in the open unit disc U , which are associated with a new differential operator of analytic functions involving binomial series. Furthermore, we find estimates on the Taylor–Maclaurin coefficients | a 2 | and | a 3 | for functions in these new subclasses. Several (known or new) consequences of the results are also pointed out

A New Method for Estimating General Coefficients to Classes of Bi-univalent Functions

This study establishes a new method to investigate bounds of ak; k≥n, for certain general classes of bi-univalent functions. The results include a number of improvements and generalizations for well-known estimations. We also discuss bounds of nan2−a2n−1 and consider several corollaries, remarks, and consequences of the results presented in this paper

Coefficient Inequalities and Fekete–Szegö-Type Problems for Family of Bi-Univalent Functions

In this study, we present a novel family of holomorphic and bi-univalent functions, denoted as EΩ(η,ε;Ϝ). We establish the coefficient bounds for this family by utilizing the generalized telephone numbers. Additionally, we solve the Fekete–Szegö functional for functions that belong to this family within the open unit disk. Moreover, our results have several consequences