Some m-fold symmetric bi-univalent function classes and their associated Taylor-Maclaurin coefficient bounds

The Ruscheweyh derivative operator is used in this paper to introduce and investigate interesting general subclasses of the function class Σ m of m -fold symmetric bi-univalent analytic functions. Estimates of the initial Taylor-Maclaurin coefficients | a m + 1 | and | a 2 m + 1 | are obtained for f...

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Bibliographic Details
Published in:Journal of inequalities and applications 2024-04, Vol.2024 (1), p.47-18, Article 47
Main Authors: Srivastava, Hari Mohan, Sabir, Pishtiwan Othman, Eker, Sevtap Sümer, Wanas, Abbas Kareem, Mohammed, Pshtiwan Othman, Chorfi, Nejmeddine, Baleanu, Dumitru
Format: Article
Language:English
Subjects:
Analysis
Analytic function
Analytic functions
Antenna arrays
Applications of Mathematics
Coefficient bounds
Coefficients
Control systems design
Derivatives
Engineering
Estimates
Fekete-Szegö inequality
Filter design (mathematics)
Image compression
Image manipulation
m-fold symmetric bi-univalent function
m-fold symmetric univalent function
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators (mathematics)
Optical communication
Robot control
Ruscheweyh derivative
Signal processing
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Summary:The Ruscheweyh derivative operator is used in this paper to introduce and investigate interesting general subclasses of the function class Σ m of m -fold symmetric bi-univalent analytic functions. Estimates of the initial Taylor-Maclaurin coefficients | a m + 1 | and | a 2 m + 1 | are obtained for functions of the subclasses introduced in this study, and the consequences of the results are discussed. Additionally, the Fekete-Szegö inequalities for these classes are investigated. The results presented could generalize and improve some recent and earlier works. In some cases, our estimates are better than the existing coefficient bounds. Furthermore, within the engineering domain, the utilization of the Ruscheweyh derivative operator can encompass a broad spectrum of engineering applications, including the robotic manipulation control, optimizing optical systems, antenna array signal processing, image compression, and control system filter design. It emphasizes the potential for innovative solutions that can significantly enhance the reliability and effectiveness of engineering applications.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-024-03114-4