Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682214120230101Some coefficient problems of a class of close-to-star functions of type $\alpha$ defined by means of a generalized differential operator519526665510.22075/ijnaa.2022.26979.3466ENAyotunde OlajideLasodeDepartment of Mathematics, University of Ilorin, P.M.B. 1515, Ilorin, Nigeria0000-0002-2657-7698Aminat OlabisiAjiboyeDepartment of Mathematics, University of Ilorin, P.M.B. 1515, Ilorin, Nigeria0000-0002-6570-6691Rasheed OlawaleAyinlaDepartment of Mathematics and Statistics, Kwara State University, P.M.B. 1530, Malete, NigeriaJournal Article20220425In this investigation, we studied a class of Bazilevic type close-to-star functions which is defined by a generalized differential operator. The new class generalizes many known and new subclasses of close-to-star functions. Some of the investigated properties are the coefficient bounds and the Fekete-Szego functional. Our results extend some known and new ones.https://ijnaa.semnan.ac.ir/article_6655_d14f4300a9fae3f686a003786b45539f.pdf