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Sandwich Theories for Pascal Distribution–Related Univalent Functions
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper investigates differential subordination and superordination for univalent functions, emphasizing operators derived from the Pascal distribution. Motivated by the limited existing results using this operator, the study establishes new sandwich‐type theorems.
Fatma Z. El-Emam +2 more
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Koefisien Dari Fungsi Gamma Starlike [PDF]
, 2019 Dalam skripsi ini dibahas tentang koefisien a2;a3;a4 dalam bentuk ketaksamaan untuk mengetahui batas atas terkecil dan batas bawah terbesar dari koefisien fungsi gamma starlike.
Nastiti, Amanda Dini
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ON A CRITERION FOR MULTIVALENTLY STARLIKENESS [PDF]
Taiwanese Journal of Mathematics, 1997 Let \(S(p)\) be the class of functions \(f:f(z)= z^p+ \sum^\infty_{n=p+1} a_nz^n\) analytic in the unit disc \(E\) and satisfying \(\text{Re} {zf'(z) \over f(z)} >0\) for \(z\in E\). \(f\in S(p)\) is called a \(p\)-valently starlike function in \(E\). In this paper a counter example is given to show that the main theorem of [\textit{M.
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The Normalized Prabhakar Fractional Operator’s Boundedness Across Various Spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.A functional space called the Bloch space is made up of analytic functions on the unit disk in the complex plane. These functions provide a number of benefits and intriguing characteristics, as well as meeting specific growth requirements. In this notice, the boundedness of certain fractional integral operator in a class of Bloch spaces is investigated.
Rabha W. Ibrahim, Shikha Binwal
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On the Eccentric Spectra of the Line Graph of Starlike Trees
Discrete Dynamics in Nature and SocietyA 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.
S. Balamoorthy +3 more
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On the properties of a class of polyharmonic functions
Mathematical Modelling and Analysis, 2013 The aim of this paper is to investigate some motivated geometrical aspects and properties of polyharmonic functions (PH) including starlikeness, convexity and univalence. A polyharmonicity preserving complex operator is also introduced.
Suheil Khuri
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Study of (p, q)‐Symmetric Starlike Functions of Order η
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In the field of geometric function theory, we use the (p, q)‐differential operator in the complex unit disk to describe a novel class Sp,q∗∗η of symmetrical starlike functions of order η. Several interesting properties of functions belonging to the class Sp,q∗∗η are examined, such as growth, distortion, and convolution characteristics.
Imran Khan +4 more
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A New Measure of Quantum Starlike Functions Connected with Julia Functions
Journal of Function Spaces, 2022 In a complex domain, the investigation of the quantum differential subordinations for starlike functions is newly considered by few research studies. In this note, we arrange a set of necessary conditions utilizing the concept of the quantum differential
Samir B. Hadid +2 more
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Starlikeness of a product of starlike functions with non-vanishing polynomials
Analysis and Mathematical Physics, 2023 For a function $f$ starlike of order $\alpha$, $0\leqslant \alpha <1$, a non-constant polynomial $Q$ of degree $n$ which is non-vanishing in the unit disc $\mathbb{D}$ and $\beta>0$, we consider the function $F:\mathbb{D}\to\mathbb{C}$ defined by $F(z)=f(z) (Q(z))^{\beta /n}$ and find the largest value of $r\in (0,1]$ such that $r^{-1} F(rz ...
Somya Malik, V. Ravichandran
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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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