On certain classes of bi-univalent functions related to $m$-fold symmetry

Hussain, Saqib ¹ ; Khan, Shahid ² ; Zaighum, Muhammad Asad ² ; Darus, Maslina ³

¹ COMSATS Institute of Information Technology, Abbotabad, Pakistan
² Department of Mathematics, Riphah International University Islamabad, Pakistan
³ School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia 43600, Bangi, Selangor, Malaysia

Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 4, p. 490-499.

Résumé

In our present investigation, we introduce two new subclasses $S_{\Sigma _{m}}(\alpha ,\lambda ,\mu )$ and $S_{\Sigma _{m}}(\beta ,\lambda ,\mu )$ of analytic and $m$-fold symmetric bi-univalent functions in the open unit disk $E$. Results concerning coefficient estimates for the functions of these classes are derived. Many interesting new and already existing corollaries are also presented.

Détail

DOI : 10.22436/jnsa.011.04.06

Classification : 30C45, 30C50
Keywords: \(m\)-Fold symmetry, bi-univalent functions, coefficient estimates

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