Affiliation:
1. 1 Department of Mathematics , GITAM University , Doddaballapur-562163, Bengaluru , INDIA
2. 2 Department of Mathematics , Kakatiya Univeristy , Warangal-506 009, Telangana , INDIA
Abstract
Abstract
In this paper, we introduce a new subclass of analytic functions with negative coefficients defined by Gegenbauer polynomials. We obtain coefficient bounds, growth and distortion properties, extreme points and radii of starlikeness, convexity and close-to-convexity for functions belonging to the class
T
S
λ
m
(
γ
,
e
,
k
,
v
)
TS_\lambda ^m(\gamma ,e,k,v)
. Furthermore, we obtained the Fekete-Szego problem for this class.
Reference17 articles.
1. [1] COHL, H.S.: On a generalization of the generating function for Gegenbauer polynomials, Int. Transf. Spec. Funct. 24 (2013), no. 10, 807–816.10.1080/10652469.2012.761613
2. [2] DUREN, P. L.: Univalent Functions, A series of Comprehensive Studies in Mathematics, Vol. 259. Springer-Verlag, Berlin, 1983.
3. [3] GOODMAN, A. W.: On uniformly convex functions, Ann. Polon. Math. 56 (1991), no. 1, 87–92.10.4064/ap-56-1-87-92
4. [4] GOODMAN, A. W.: On uniformly starlike functions, J. Math. Anal. Appl. 155 (1991), no. 2, 364–370.10.1016/0022-247X(91)90006-L
5. [5] KANAS, S.—SRIVASTAVA, H. M.: Linear operators associated with k-uniformly convex functions, Int. Transf. Spec. Funct. 9(2000), no. 2, 121–132.10.1080/10652460008819249
Cited by
2 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