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http://dx.doi.org/10.5666/KMJ.2015.55.3.705

Certain Subclasses of Bi-Starlike and Bi-Convex Functions of Complex Order  

MAGESH, NANJUNDAN (Post-Graduate and Research Department of Mathematics, Government Arts College for Men)
BALAJI, VITTALRAO KUPPARAOo (Department of Mathematics, L. N. Government College)
Publication Information
Kyungpook Mathematical Journal / v.55, no.3, 2015 , pp. 705-714 More about this Journal
Abstract
In this paper, we introduce and investigate an interesting subclass $M_{\Sigma}({\gamma},{\lambda},{\delta},{\varphi})$ of analytic and bi-univalent functions of complex order in the open unit disk ${\mathbb{U}}$. For functions belonging to the class $M_{\Sigma}({\gamma},{\lambda},{\delta},{\varphi})$ we investigate the coefficient estimates on the first two Taylor-Maclaurin coefficients ${\mid}{\alpha}_2{\mid}$ and ${\mid}{\alpha}_3{\mid}$. The results presented in this paper would generalize and improve some recent works of [1],[5],[9].
Keywords
Univalent; Bi-Univalent functions; Starlike and Convex functions Ma-Minda type; Bi-Starlike of Ma-Minda type; Bi-Convex of Ma-Minda type;
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