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THE FEKETE-SZEGÖ COEFFICIENT INEQUALITY FOR A NEW CLASS OF m-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS SATISFYING SUBORDINATION CONDITION

  • Akgul, Arzu (Department of Mathematics, Faculty of Arts and Science, Kocaeli University)
  • Received : 2018.05.19
  • Accepted : 2018.10.02
  • Published : 2018.12.25
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Abstract

In this paper, we investigate a new subclass $S^{{\varphi},{\lambda}}_{{\Sigma}_m}$ of ${\Sigma}_m$ consisting of analytic and m-fold symmetric bi-univalent functions satisfying subordination in the open unit disk U. We consider the Fekete-$Szeg{\ddot{o}}$ inequalities for this class. Also, we establish estimates for the coefficients for this subclass and several related classes are also considered and connections to earlier known results are made.

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References

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