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BOUND ON HANKEL DETERMINANTS H^(2)_4(f) AND H^(3)_4(f) FOR LEMNISCATE STARLIKE FUNCTIONS
Asena Çetinkaya,Sushil Kumar,Pratima Rai 호남수학회 2023 호남수학학술지 Vol.45 No.1
We determine the upper bounds on fourth order Hankel determinants H^(2)_4(f) and H^(3)_4(f) for the class S ∗ L of lemniscate starlike functions defined on the open unit disk which was introduced by Sokol and Stankiewicz in [17].
Some properties for spirallike functions involving generalized q-integral operator
Şahsene Altınkaya,Asena Çetinkaya 호남수학회 2023 호남수학학술지 Vol.45 No.4
In this note, we establish a new subfamily of spirallike functions by making use of a generalized q-integral operator. We examine characterization rule for functions which are member of this subclass. We further obtain coefficient estimate, subordination results and integral mean inequalities for functions in this class. The Fekete-Szeg¨o inequalities are also derived.
RADIUS ESTIMATES OF CERTAIN ANALYTIC FUNCTIONS
( Sushil Kumar Pratima Rai ),( Asena C. Etinkaya ) 호남수학회 2021 호남수학학술지 Vol.43 No.4
Numerical techniques are used to determine the radius of convexity of the starlike functions related to cardioid shaped bounded domain. In addition, radius constants of certain starlikeness associated with right half plane of various starlike functions are computed.