Open AccessCertain Subclass of Meromorphic β-starlike Functions Associated with a Differential Operator
Author(s) -
Zainab Aodeh A. Mohammed
Publication year - 2022
Publication title -
earthline journal of mathematical sciences
Language(s) - English
Resource type - Journals
ISSN - 2581-8147
DOI - 10.34198/ejms.9122.4151
Subject(s) - meromorphic function , subclass , unit disk , differential operator , mathematics , order (exchange) , class (philosophy) , pure mathematics , differential (mechanical device) , operator (biology) , combinatorics , unit (ring theory) , physics , computer science , artificial intelligence , chemistry , medicine , biochemistry , mathematics education , finance , repressor , economics , transcription factor , antibody , gene , immunology , thermodynamics
Sharp bounds for the Fekete-Szegö functional |ν_1-ξ〖ν_0〗^2 | are derived for certain class of meromorphic starlike functions ω(z) of order β defined on the punctured open unit disk for which 1-1/t ((D^(n+1˳m) ω(z))/(D^(n˳m) ω(z) )-1)≺χ(z) (t∈C-{0},η≥0,κ>0,n,m∈N_0),lie in a region starlike with respect to 1 and symmetric with respect to the real axis.