Second and Third order differential subordination for exponential function

2024/03/26 by S. Sivaprasad Kumar, Kumar, S. Sivaprasad, Neha Verma +1
Mathematics · Engineering · #Analytic and geometric function theory #Elasticity and Wave Propagation

paper · pdf · doi:10.48550/arxiv.2403.19712

Abstract

This article presents several findings regarding second and third-order differential subordination of the form: p(z)+γ₁ zp'(z)+γ₂ z²p''(z)\prec h(z)⇒ p(z)\prec e^z and p(z)+γ₁ zp'(z)+γ₂ z²p''(z)+γ₃ z³p'''(z)\prec h(z)⇒ p(z)\prec e^z. Here, γ₁, γ₂, and γ₃ represent positive real numbers, and various selections of h(z) are explored within the context of the class S^*_e := \f ∈ A : zf'(z)/f(z) \prec e^z\, which denotes the class of starlike functions associated with the exponential function.

Related

• Differential Subordination of Certain Class of Starlike Functions
• Starlikeness Associated With The Exponential Function
• Higher order differential subordinations for certain starlike functions
• A new differential subordination technique for a subclass of starlike functions
• Some applications of differential subordination for certain starlike functions