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

• Panigrahi, Trailokya
• Published : 2013.09.30
• 30 4

#### Abstract

In the present investigation, the author introduces two interesting subclasses of normalized meromorphic univalent functions $w=f(z)$ defined on $\tilde{\Delta}:=\{z{\in}\mathbb{C}:1&lt;{\mid}z{\mid}&lt;{\infty}\}$ 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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#### Cited by

1. Certain Subclasses of Meromorphically Bi-Univalent Functions vol.40, pp.2, 2017, https://doi.org/10.1007/s40840-016-0335-1
2. Coefficient Estimates for New Subclasses of Meromorphic Bi-Univalent Functions vol.2014, 2014, https://doi.org/10.1155/2014/376076