Making use of the Hurwitz-Lerch Zeta function, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients of complex order denoted by TSμ/b (α, β, γ) and obtain coefficient estimates, extreme points, the radii of close to convexity, starlikeness and convexity and neighbourhood results for the class TSμ/b (α, β, γ). In particular, we obtain integral means inequalities for the function f(z) belongs to the class TSμ/b (α, β, γ) in the unit disc.
@article{bwmeta1.element.doi-10_2478_v10062-010-0015-9,
author = {G. Murugusundaramoorthy and K. Uma},
title = {Certain subclasses of starlike functions of complex order involving the Hurwitz-Lerch Zeta function},
journal = {Annales UMCS, Mathematica},
volume = {64},
year = {2010},
pages = {61-72},
zbl = {1213.30036},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10062-010-0015-9}
}
G. Murugusundaramoorthy; K. Uma. Certain subclasses of starlike functions of complex order involving the Hurwitz-Lerch Zeta function. Annales UMCS, Mathematica, Tome 64 (2010) pp. 61-72. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-010-0015-9/
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