An Application of Salagean Operator Concerning Starlike Functions
Axioms(2022)
Abstract
As an application of the well-known Salagean differential operator, a new operator is introduced and, using this, a new class of functions S-n(alpha) is defined, which has the classes of starlike and convex functions of order alpha as special cases. Original results related to the newly defined class are obtained using the renowned Jack-Miller-Mocanu lemma. A relevant example is given regarding the applications of a new proven result concerning interesting properties of class S-n (alpha).
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Key words
analytic function,starlike function of order alpha,convex function of order alpha,Salagean differential operator,Alexander integral operator
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