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On λ-pseudo starlike functions associated with vertical strip domain.

Authors :
Sokół, Janusz
Murugusundaramoorthy, G.
Vijaya, K.
Source :
Asian-European Journal of Mathematics; Aug2023, Vol. 16 Issue 8, p1-11, 11p
Publication Year :
2023

Abstract

We consider the class of λ -pseudo starlike functions f (z) = z + a 2 z 2 + a 3 z 3 + ⋯ such that z (f ′ (z)) λ / f (z) maps the open unit disk | z | < 1 onto a strip domain w with α − π 2 sin α < ℜ (w (z)) < α 2 sin α for some α , π / 2 ≤ α < π. We estimate | a 2 | , | a 3 | and solve the Fekete–Szegö problem for functions in this class. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17935571
Volume :
16
Issue :
8
Database :
Complementary Index
Journal :
Asian-European Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
169914100
Full Text :
https://doi.org/10.1142/S1793557123501358