Results 71 to 80 of about 1,238 (216)
Starlikeness associated with parabolic regions
International Journal of Mathematics and Mathematical Sciences, 2005 A parabolic starlike function f of order ρ in the unit disk is characterized by the fact that the quantity zf′(z)/f(z) lies in a given parabolic region in the right half-plane. Denote the class of such functions by PS∗(ρ).
Rosihan M. Ali
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, 2017 We introduce second Hankel determinant of biunivalent analytic functions associated with λ-pseudo-starlike function in the open unit disc Δ subordinate to a starlike univalent function whose range is symmetric with respect to the real axis.
K. Rajya Laxmi, R. Bharavi Sharma
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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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Characterization of p-valent q-starlike functions through Hadamard product and Poisson distribution
Applied Mathematics in Science and EngineeringThis paper presents significant advancement in the study of multivalent functions by introducing three new subclasses of p-valent q-starlike functions, defined with respect to higher-order q-derivatives within the open unit disk of the complex plane ...
Muhammad Uzair Shah +3 more
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INNER RADIUS OF UNIVALENCE FOR A STRONGLY STARLIKE DOMAIN (New Extension of Historical Theorems for Univalent Function Theory) [PDF]
, 2000 . The inner radius of univalence of a domain $D $ with Poincar\’e density $\rho_{D} $ is the possible smallest number $\sigma $ such that the condition $||S_{f}||D=\mathrm{s}\mathrm{u}\mathrm{p}w\in D\rho_{D(}w)^{-}2|S_{f}(z)|\leq\sigma$ implies the ...
Toshiyuki Sugawa, Sugawa, Toshiyuki
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An asymptotic formula for an integral in starlike function theory
, 1976 The paper is concerned with the integral \[ H = ∫ 0 2 π | f | σ
R. R. London, D. K. Thomas
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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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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This study explores the geometric properties of normalized Gaussian hypergeometric functions in a certain subclass of analytic functions. This work investigates the inclusion properties of integral operators associated with generalized Bessel functions of the first kind.
Manas Kumar Giri +2 more
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Some Geometric Characterizations of a Certain Class of Log-Harmonic Mappings
MathematicsThis article investigates structural properties of a class of log-harmonic mappings associated with starlike analytic functions in the unit disk. Beginning with a general representation of the log-harmonic mappings, we use sharp inequalities using ...
Madhusmita Mohanty +2 more
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