Panigrahi, Trailokya Coefficient bounds for certain subclasses of meromorphic and bi-univalent functions. (English) Zbl 1331.30011 Bull. Korean Math. Soc. 50, No. 5, 1531-1538 (2013). Summary: In the present investigation, the author introduces two interesting subclasses of normalized meromorphic univalent functions \(w=f(z)\) defined on \(\tilde{\Delta}:= \{z \in \mathbb{C}: 1<|z|<\infty\}\) 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. Cited in 6 Documents MSC: 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) 30C80 Maximum principle, Schwarz’s lemma, Lindelöf principle, analogues and generalizations; subordination Keywords:meromorphic functions; univalent functions; bi-univalent functions; inverse functions; coefficient bounds PDFBibTeX XMLCite \textit{T. Panigrahi}, Bull. Korean Math. Soc. 50, No. 5, 1531--1538 (2013; Zbl 1331.30011) Full Text: DOI Link