Fekete–Szegö Functional Problem for a Special Family of m -Fold Symmetric Bi-Univalent Functions

Sondekola Rudra Swamy, Basem Aref Frasin and Ibtisam Aldawish
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Sondekola Rudra Swamy: Department of Computer Science and Engineering, RV College of Engineering, Bengaluru 560 059, India
Basem Aref Frasin: Department of Mathematics, Faculty of Science, Al Al-Bayt University, Mafraq 25113, Jordan
Ibtisam Aldawish: Department of Mathematics and Statistics, College of Science, Imam Mohammad IBN Saud Islamic University, Riyadh 11623, Saudi Arabia

Mathematics, 2022, vol. 10, issue 7, 1-14

Abstract: In the current work, we introduce a special family of the function family of analytic and m-fold symmetric bi-univalent functions and obtain estimates of the Taylor–Maclaurin coefficients | d m + 1 | and | d 2 m + 1 | for functions in the special family. For δ a real number, Fekete–Szegö functional | d 2 m + 1 − δ d m + 1 2 | for functions in the special family is also estimated. We indicate several cases of the defined family and connections to existing results are also discussed.

Keywords: bi-univalent functions; coefficient estimates; Fekete–Szegö functional; m-fold symmetric bi-univalent functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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