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http://dx.doi.org/10.4134/BKMS.2013.50.5.1531

COEFFICIENT BOUNDS FOR CERTAIN SUBCLASSES OF MEROMORPHIC AND BI-UNIVALENT FUNCTIONS  

Panigrahi, Trailokya (Department of Mathematics School of Applied Sciences Kiit University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.5, 2013 , pp. 1531-1538 More about this Journal
Abstract
In the present investigation, the author introduces two interesting subclasses of normalized meromorphic univalent functions $w=f(z)$ defined on $\tilde{\Delta}:=\{z{\in}\mathbb{C}:1<{\mid}z{\mid}<{\infty}\}$ whose inverse $f^{-1}(w)$ is also univalent meromorphic in $\tilde{\Delta}$. Estimates for the initial coefficients are obtained for the functions in these new subclasses.
Keywords
meromorphic functions; univalent functions; bi-univalent functions; inverse functions; coefficient bounds;
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