期刊名称：Karbala International Journal of Modern Science
印刷版ISSN：2405-609X
电子版ISSN：2405-609X
出版年度：2017
卷号：3
期号：1
页码：53-58
DOI：10.1016/j.kijoms.2017.02.005
语种：English
出版社：Elsevier
摘要：Abstract In the recent study, we utilize a differential-difference operator in a complex domain to define some new classes of analytic functions. A modification of the differential-difference operator in the open unit disk is formulated in order to impose some geometric properties. The modified operator is studied in the Hardy space. Additionally, we define a new subspace of the Hardy space comprising the normalized analytic functions with the set of all bounded functions. We shall validate that the modified operator is closed in the subspace of normalized functions with the bounded first derivative. Our proofs are based on the Jack Lemma.
