Topics in Contemporary Mathematical Analysis and Applications

9 On the Coefficient Estimates for New Subclasses of Bi-univalent Functions Associated with Subordination and Fibonacci Numbers

Şahsene Altιnkaya

Bursa Uludag University

CONTENTS

9.1     The Definition and Elementary Properties of Univalent Functions

9.1.1     Integral Operators

9.2     Subclasses of Analytic and Univalent Functions

9.3     The Class Σ

9.4     Functions with Positive Real Part

9.4.1     Subordination

9.5     Bi-univalent Function Classes ${\mathcal{S}}_{t,\mathrm{\Sigma }}^{\mu }\left(\tilde{\mathfrak{p}}\right)$ and ${\mathcal{K}}_{t,\mathrm{\Sigma }}^{\mu }\left(\tilde{\mathfrak{p}}\right)$

9.6     Inequalities for the Taylor-Maclaurin Coefficients

9.7     Concluding Remarks and Observations

Acknowledgment

Bibliography

9.1     The Definition and Elementary Properties of Univalent Functions

Let ℝ = (−∞, ∞) be the set of real numbers, ℂ be the set of complex ...