Izvorni znanstveni članak

Certain classes of multivalent functions with negative coefficients associated with a convolution structure

Gangadharan Murugusundaramoorthy ; School of Advanced Sciences, VIT University, Vellore, India
Santosh Bose Joshi ; Department of Mathematics, Walchand College of Engineering, Sangli, India

Sažetak

Making use of a convolution structure, we introduce a new class of
analytic functions ${\mathbb{T}}_g^p(\lambda ,\alpha ,\beta ,)$
defined in the open unit disc and investigate its various
characteristics. Further we obtained distortion bounds, extreme
points and radii of close-to-convexity, starlikeness and convexity
for functions belonging to the class
${\mathbb{T}}_g^p(\lambda ,\alpha ,\beta ).$

Ključne riječi

Analytic; starlikeness; convexity; Hadamard product (convolution)

Hrčak ID:

61805

URI

https://hrcak.srce.hr/61805

Datum izdavanja:

8.12.2010.

Posjeta: 1.658 *