The main purpose of this paper is to introduce and investigate a certain subclass of meromorphic close-to-convex functions. Such results as coefficient inequalities, convolution property, inclusion relationship, distortion property, and radius of meromorphic convexity are derived.
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http://dx.doi.org/10.1155/2014/806168 | DOI Listing |
Heliyon
October 2024
Department of Basic Sciences, College of Science, and Theoretical Studies, Saudi Electronic University, Riyadh, 11673, Saudi Arabia.
In this article, by applying the convolution principle and symmetric -calculus, we develop a new generalized symmetric -difference operator of convolution type, which is applicable in the domain . Utilizing this operator, we construct, analyze, and evaluate two new sets of meromorphically harmonic functions in the Janowski domain. Furthermore, we investigate the convolution properties and necessary conditions for a function to belong to the class , examining the sufficiency conditions for to satisfy these properties.
View Article and Find Full Text PDFHeliyon
February 2023
Department of Mathematics and Statistics, College of Science, IMSIU (Imam Mohammad Ibn Saud Islamic University), Riyadh, Saudi Arabia.
This investigation deals with a new symmetric formula for a class of meromorphic analytic functions in the puncher open unit disk. Accordingly, the symmetric formula is employed to define a convolution linear operator associated with a special function type the incomplete hypergeometric function. By making utilize the recommended operators, a new sub-classes of meromorphic functions is presented discussing some subordination results.
View Article and Find Full Text PDFJ Inequal Appl
October 2018
Department of Business Administration, Faculty of Management and Economics, Batman University, Batman, Turkey.
In the present paper, we introduce two interesting subclasses of meromorphic and bi-univalent functions defined on . For functions belonging to these subclasses, estimates on the initial coefficient and are obtained. Some other closely related results are also represented.
View Article and Find Full Text PDFScientificWorldJournal
June 2015
School of Mathematics and Statistics, Anyang Normal University, Anyang, Henan 455000, China.
The main purpose of this paper is to introduce and investigate a certain subclass of meromorphic close-to-convex functions. Such results as coefficient inequalities, convolution property, inclusion relationship, distortion property, and radius of meromorphic convexity are derived.
View Article and Find Full Text PDFScientificWorldJournal
March 2015
School of Mathematics and Statistics, Anyang Normal University, Anyang, Henan 455000, China.
We introduce and investigate a new subclass M(m)(1)(θ, λ, η) of meromorphic spirallike functions. Such results as integral representations, convolution properties, and coefficient estimates are proved. The results presented here would provide extensions of those given in earlier works.
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