Results 61 to 70 of about 1,333 (181)
Initial Coefficient Bounds of Convex Functions Related to Pascal Snail Function
Journal of Mathematics, Volume 2026, Issue 1, 2026.For −1 ≤ λ ≤ 1, let Cλ be a subclass of convex functions associated with the Pascal snail function, analytically defined by the subordination relation, (1 + τf″(τ)/f′(τ))≺1/(1 − λτ). In this article, we have presented the initial coefficient bounds for the functions f in the class Cλ. We have also established the bounds on the Hankel determinants |H2,1(
Arooj Fatima +4 more
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q‐Poisson and q‐Pascal Distribution Series for Analytic Function Classes
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we study analytic function classes defined by the q‐derivative and convolution operators generated by discrete q‐distributions. We first consider coefficient conditions for the class determined by a q‐derivative inequality and its negative‐coefficient subclass. We then investigate the q‐Poisson and q‐Pascal distribution series and derive
Serkan Çakmak +2 more
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Toeplitz Determinants for Inverse of Analytic Functions
MathematicsEstimates bounds for Carathéodory functions in the complex domain are applied to demonstrate sharp limits for the inverse of analytic functions. Determining these values is considered a more difficult task compared to finding the values of analytic ...
Sarem H. Hadi +4 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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On the hadamard products of Schlicht functions and applications
International Journal of Mathematics and Mathematical Sciences, 1985 We show that each of the schlicht classes of starlike, convex, close-to-convex and strongly starlike with respect to symmetric points is invariant under the Hadamard product with the class of convex functions.
H. S. Al-Amiri
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On the coefficients of starlike functions [PDF]
Proceedings of the American Mathematical Society, 1972 Every probability measure μ \mu on the
openaire +2 more sources
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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Journal of Function Spaces, 2018 This article deals with q-starlike functions associated with conic domains, defined by Janowski functions. It generalizes the recent study of q-starlike functions while associating it with the conic domains.
Shahid Mahmood +5 more
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Subclass of harmonic starlike functions associated with salagean derivative
Le Matematiche, 2014 The purpose of the present paper is to establish some results involving coefficient conditions, distortion bounds, extreme points, convolution, and convex combinations for a new class of harmonic univalent functions in the open unit disc \ associated ...
H. E. Darwish +2 more
doaj
MathematicsThe present study aims at investigating some characterizations of a new subclass Gα(μ,τ) and obtaining the bounds on the first two Taylor–Maclaurin coefficients for functions belonging to the newly introduced subclass.
Jamiu Olusegun Hamzat +3 more
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