Affiliation:
1. Department of Mathematics, Government College University Faisalabad, Pakistan
Abstract
Let S* lim represent a subclass of analytic functions f defined in the unit
disk such that zf?(z)/f(z) lies in the interior of the region bounded by
the limacon which is given by the equation [(u ? 1)2 + v2 ? 1/4]2 ? 2[(u
? 1 + 1/2)2 + v2] = 0. For this class, we obtain the structural formula,
inclusion results and some radii problems for subclasses of starlike
functions. Furthermore, we obtain sufficient conditions and coefficient
bounds for this class of functions.
Publisher
National Library of Serbia
Reference33 articles.
1. R. M. Ali, R. N. K. Jain, V. Ravichandran, Radii of starlikeness associated with the lemniscate of Bernoulli and the left-half plane, Appl. Math. Comp., 218(11) (2012), 6557-6565.
2. K. Bano, M. Raza, Starlike functions associated with cosine functions, Bull. Iran. Math. Soc., 47 (2021), 1513-1532.
3. N. E. Cho, V. Kumar, S. S. Kumar, V. Ravichandran, Radius problems for starlike functions associated with the sine function, Bull. Iran. Math. Soc., 45(1) (2019), 213-232.
4. S. Fukui, K. Sakaguchi, An extension of a theorem of S. Ruscheweyh, Bull. Fac. Edu. Wakayama Univ. Nat. Sci., 29(1980), 1-3.
5. W. Janowski, Extremal problems for a family of functions with positive real part and for some related families, Ann. Polon. Math., 23(2) (1973), 159-177.
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献