Author:
Kumar S. Sivaprasad,Priyanka Priyanka
Abstract
UDC 517.5
For
0
<
α
≤
1
and
λ
>
0
,
let The general form of the Silverman class introduced by Tuneski and Irmak [Int. J. Math. and Math. Sci., {\bf 2006}, Article~ID 38089 (2006)]. Our differential inequality formulation lays out several sufficient conditions for this class. Further, we consider a class
Ω
given by For these two classes, we establish inclusion relations involving some well-known subclasses of
𝒮
*
and compute radius estimates featuring various pairings of these classes.
Publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
Reference20 articles.
1. T. Bulboacǎ, N. Tuneski, New criteria for starlikeness and strongly starlikeness, Mathematica, 43(66), № 1, 11–22 (2003) (2001).
2. N. E. Cho, V. Kumar, S. S. Kumar, V. Ravichandran, Radius problems for starlike functions associated with the sine function, Bull. Iranian Math. Soc., 45, № 1, 213–232 (2019).
3. J. Dieudonné, Recherches sur quelques problèmes relatifs aux polynômes et aux fonctions bornées d'une variable complexe, Ann. Sci. Ècole Norm. Supér (3), 48, 247–358 (1931).
4. P. Goel, S. Sivaprasad Kumar, Certain class of starlike functions associated with modified sigmoid function, Bull. Malays. Math. Sci. Soc., 43, № 1, 957–991 (2020).
5. S. S. Kumar, G. Kamaljeet, A cardioid domain and starlike functions, Anal. Math. Phys., 11, № 2, Article 54 (2021).