Sharp Coefficient Bounds for a New Subclass of Starlike Functions of Complex Order γ Associated with Cardioid Domain

Suha B. Al-Shaikh, Khaled Matarneh, Ahmad A. Abubaker () and Mohammad Faisal Khan
Additional contact information
Suha B. Al-Shaikh: Faculty of Computer Studies, Arab Open University, Riyadh 11681, Saudi Arabia
Khaled Matarneh: Faculty of Computer Studies, Arab Open University, Riyadh 11681, Saudi Arabia
Ahmad A. Abubaker: Faculty of Computer Studies, Arab Open University, Riyadh 11681, Saudi Arabia
Mohammad Faisal Khan: Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh 11673, Saudi Arabia

Mathematics, 2023, vol. 11, issue 9, 1-20

Abstract: In this study, by using the concepts of subordination, we define a new family R M , N , λ , γ of starlike functions of complex order γ connected with the cardioid domain. The main contribution of this article consists of the derivations of sharp inequality, considering the functions belonging to the family R M , N , λ , γ of starlike functions in U . Particularly, sharp bounds of the first two Taylor–Maclaurin coefficients, sharp estimates of the Fekete–Szegö-type functionals, and coefficient inequalities are investigated for this newly defined family R M , N , λ , γ of starlike functions. Furthermore, for the inverse function and the log g ( z ) z function, we investigate the same types of problems. Several well-known corollaries are also highlighted to show the connections between prior research and the new findings.

Keywords: analytic functions; subordination; convex and starlike functions; Fibonacci numbers; shell-like curve; cardioid domain (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/9/2017/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/9/2017/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:9:p:2017-:d:1131401

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().