What does this research mean for the field?

A new class of analytic and close-to-convex functions associated with a vertical strip domain has been introduced, with determined coefficient bounds for these functions. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

This research aims to introduce a new class of close-to-convex functions and establish their coefficient bounds.

March 1, 2026

Coefficient Bounds for Close-to-Convex Functions Associated With Vertical Strip Domain

Key Points

This research aims to introduce a new class of close-to-convex functions and establish their coefficient bounds.
Considered a univalent function in the open unit disk mapping onto a strip domain.
Introduced a new class using a nonhomogeneous Cauchy-Euler-type differential equation.
Analyzed connections with earlier research findings.
Determined specific coefficient bounds for the newly introduced class of functions.
Highlighted relationships between the new results and previous works.

Abstract

By considering a certain univalent function in the open unit disk U, that maps U onto a strip domain, we introduce a new class of analytic and close-to-convex functions by means of a certain nonhomogeneous Cauchy-Euler-type differential equation. We determine the coefficient bounds for functions in this new class. Relevant connections of some of the results obtained with those in earlier works are also provided.

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Coefficient Bounds for Close-to-Convex Functions Associated With Vertical Strip Domain

Key Points

Abstract

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