Certain new applications of fourth-order differential inequality for close-to-convex harmonic functions

作者：H. M. Srivastava, Muhammad Salim Khan, Fairouz Tchier, Qazi Zahoor Ahmad · 发表于：Complex Variables and Elliptic Equations · 年份：2026 · DOI：10.1080/17476933.2026.2687672 · 被引用次数：1 · 研究领域：Analytic and geometric function theory、Mathematical Inequalities and Applications、Contact Mechanics and Variational Inequalities

In this study, we introduce a new class RH0,γ,δ(λ,β) of normalized harmonic functions in the open unit disk △={τ∈C:|τ|<1}, satisfying a fourth-order differential inequality. We begin by showing that the recently introduced classes Rλγ,δ(β) and RH0,γ,δ(λ,β) have a one-to-one correspondence. Furthermore, we prove that every function in the class Rλγ,δ(β) is close-to-convex in the open unit disk △. We then investigate several additional properties of the class RH0,γ,δ(λ,β), including growth estimates, coefficient bounds, coefficient conditions, and closure properties under convex combinations and convolution.