Kadhavoor R. Karthikeyan*
Motivated by the definition of multiplicative derivative, a new class of functions is defined by expressing differential characterizations belonging to a family of Bazileviˇc and pseudo-starlike functions as a convex combination. Estimates involving the initial coefficients of the functions, which belong to the defined function class, are the main results. Some examples along with graphs have been used to establish the inclusion and closure properties.
Keywords: multiplicative calculus, analytic function, univalent function, Schwarz function, starlike and convex functions.
MSC: 30C45.
DOI 10.56082/annalsarscimath.2025.2.11
*arthikeyan@nu.edu.om, Department of Applied Mathematics and Science, College
of Engineering, National University of Science & Technology, Muscat P.O. Box 620, Oman
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 17 no 2, 2025
