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

Title & Authors
COEFFICIENT BOUNDS FOR CERTAIN SUBCLASSES OF MEROMORPHIC AND BI-UNIVALENT FUNCTIONS
Panigrahi, Trailokya;

Abstract
In the present investigation, the author introduces two interesting subclasses of normalized meromorphic univalent functions $\small{w=f(z)}$ defined on $\small{\tilde{\Delta}:=\{z{\in}\mathbb{C}:1}$$\small{&}$$\small{lt;{\mid}z{\mid}}$$\small{&}$$\small{lt;{\infty}\}}$ whose inverse $\small{f^{-1}(w)}$ is also univalent meromorphic in $\small{\tilde{\Delta}}$. 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;
Language
English
Cited by
1.
Certain Subclasses of Meromorphically Bi-Univalent Functions, Bulletin of the Malaysian Mathematical Sciences Society, 2017, 40, 2, 841
2.
Coefficient Estimates for New Subclasses of Meromorphic Bi-Univalent Functions, International Scholarly Research Notices, 2014, 2014, 1
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