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On Generalizations of the Close-to-Convex Functions Associated with -Srivastava–Attiya Operator
The study of the q -analogue of the classical results of geometric function theory is currently of great interest to scholars. In this article, we define generalized classes of close-to-convex functions and quasi-convex functions with the help of the q -difference operator. Moreover, by using the q...
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Published in: | Mathematics (Basel) 2023-04, Vol.11 (9), p.2022 |
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Main Authors: | , , , |
Format: | Article |
Language: | English |
Subjects: | |
Online Access: | Get full text |
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Summary: | The study of the q -analogue of the classical results of geometric function theory is currently of great interest to scholars. In this article, we define generalized classes of close-to-convex functions and quasi-convex functions with the help of the q -difference operator. Moreover, by using the q -analogues of a certain family of linear operators, the classes K q ,bs h , K˜ q ,sb h , Q q ,bs h , and Q˜ q ,sb h are introduced. Several interesting inclusion relationships between these newly defined classes are discussed, and the invariance of these classes under the q -Bernadi integral operator was examined. Furthermore, some special cases and useful consequences of these investigations were taken into consideration. |
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ISSN: | 2227-7390 |
DOI: | 10.3390/math11092022 |