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Certain integral operator and strongly starlike functions
International Journal of Mathematics and Mathematical Sciences, 2002 Let S∗(ρ,γ) denote the class of strongly starlike functions of order ρ and type γ and let C(ρ,γ) be the class of strongly convex functions of order ρ and type γ. By making use of an integral operator defined by Jung et al.
Jin-Lin Liu
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On Subclasses of Spiral‐Like Functions Defined by the q‐Derivative Operator
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In 1990, Ismail et al. introduced a generalized class of starlike functions using the q‐derivative operator. Similarly, many authors have studied various subclasses of analytic functions involving the q‐derivative operator from different perspectives. This paper is aimed at presenting new subclasses of analytic and spiral‐like functions related to the ...
Fatma Z. El-Emam +2 more
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On classes of non-univalent functions influenced by the multiplicative derivative
Frontiers in Applied Mathematics and StatisticsIn this article, we extend studies on the class of starlike functions, motivated by the definition of the multiplicative derivative. In this direction, we define a new class by combining characterizations of starlike functions and a recently studied ...
Daniel Breaz +2 more
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Математичні Студії, 2022 We study the sharp bound for the third Hankel determinant for the inverse function $f$, when it belongs to of the class of starlike functions with respect to symmetric points.
B. Rath +3 more
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Advanced Materials Interfaces, Volume 12, Issue 24, December 22, 2025.This study presents the elaboration of antibacterial, antiadhesive, and antibiofilm polyurethane by a straightforward process based on the co‐extrusion of 2 wt.% of both antibacterial and antiadhesive copolymer. The material proves to be active even after pre‐exposition to biological media and prevents E. coli biofilm formation without toxicity.
Baptiste Caron +6 more
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Weakly starlike meromorphic univalent functions [PDF]
Transactions of the American Mathematical Society, 1975 A weakly starlike meromorphic univalent function is one of the form f ( z ) = − ρ z g ( z ) [ ( z − ρ ) ( 1 − ρ z ) ] −
Libera, Richard J. +1 more
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9241-9252, 30 May 2025.ABSTRACT The motivation of this paper is to explore and generalize Sakaguchi‐type functions, which play a significant role in geometric function theory. In this context, we introduce four new classes of analytic univalent functions: ℑΨ,tb,α,ρ,ℑϑb,α,ρ,ℑΘ,mb,α,ρ$$ {\Im}_{\Psi, t}^{b,\alpha, \rho },\kern0.3em {\Im}_{\vartheta}^{b,\alpha, \rho },\kern0.3em
Arzu Akgül
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On a subfamily of starlike functions related to Hyperbolic Cosine function [PDF]
, 2022 Mridula Mundalia, S. Sivaprasad Kumar
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On the Eccentric Spectra of the Line Graph of Starlike Trees
Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.A tree is called starlike if it has exactly one vertex with a degree greater than two. In this paper, we determine the eccentricity spectrum of the line graphs of starlike trees and compute their eccentric energy. Furthermore, we establish that the eccentricity matrix of the line graph of any starlike tree is irreducible.
S. Balamoorthy +4 more
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Certain Constraints for Functions Provided by Touchard Polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.Since finding solutions to integral equations is usually challenging analytically, approximate methods are often required, one of which is based on Touchard polynomials. This paper examines the necessary constraints for the functions Ϝετς,Πε,τ,ςℏ, and the integral operator Lετς, defined by Touchard polynomials, to be in the comprehensive subclass ∁η(q3,
Tariq Al-Hawary +3 more
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