Convolution conditions for bounded α-starlike functions of complex order
A. Y. Lashin
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 71 (2017), / Harvested from The Polish Digital Mathematics Library
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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 SM*(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 SM*(n,α,b) (n≥0) related to SM*(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 SM*(α,b). Several properties of the class SM*(n,α,b) are investigated.

Publié le : 2017-01-01
EUDML-ID : urn:eudml:doc:289796 
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     author = {A. Y. Lashin},
     title = {Convolution conditions for bounded $\alpha $-starlike functions of complex order},
     journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
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     year = {2017},
     language = {en},
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A. Y. Lashin. Convolution conditions for bounded $\alpha $-starlike functions of complex order. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 71 (2017) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2017_71_1_65/

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