Convolution conditions for bounded α-starlike functions of complex order
Journal Title: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica - Year 2017, Vol 71, Issue 1
Abstract
Let A be the class of analytic functions in the unit disc U of the complex plane C with the normalization f(0)=f′(0)−1=0. We introduce a subclass S∗M(α,b) of A, which unifies the classes of bounded starlike and convex functions of complex order. Making use of Salagean operator, a more general class S∗M(n,α,b) (n≥0) related to S∗M(α,b) is also considered under the same conditions. Among other things, we find convolution conditions for a function f∈A to belong to the class S∗M(α,b). Several properties of the class S∗M(n,α,b) are investigated.
Authors and Affiliations
A. Y. Lashin
Keywords
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- EP ID EP304699
- DOI 10.17951/a.2017.71.1.65
- Views 150
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