Coefficient Bounds For Certain Subclasses Of Close-Convex Functions Associated With A Differential Operator

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DOI: https://doi.org/10.28924/2291-8639-24-2026-324
Published: Oct 5, 2026
Cite as:
K. R. Karthikeyan, D. Breaz, D. Mohankumar, S. Varadharajan, Coefficient Bounds For Certain Subclasses Of Close-Convex Functions Associated With A Differential Operator, Int. J. Anal. Appl., 24 (2026), 324.

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K. R. Karthikeyan, D. Breaz, D. Mohankumar, S. Varadharajan

Abstract

In this paper, we define a new subclass of close-to-convex functions influenced by the multiplicative derivative. Multiplicative derivative is defined in a domain which excludes zero, so the defined subclass did not involve replacing the ordinary derivative with a multiplicative derivative. But we have used the only motivation behind the purpose of such a restrictive calculus, to define a new family of analytic functions. Estimates involving the initial coefficients of the functions having Maclaurin series, which belong to the defined function class are our main results. Some examples along with graphs have been used to establish the inclusion and closure properties. Also, we obtain the logarithmic and inverse coefficients for the defined function class.

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