Results 31 to 40 of about 133 (107)

On neighborhoods of functions associated with conic domains

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
Let k − ST [A, B], k ≥ 0, −1 ≤ B < A ≤ 1 be the class of normalized analytic functions defined in the open unit disk satisfying ℜ((B−1)zf′(z)f(z)−(A−1)(B+1)zf′(z)f(z)−(A+1))>k|(B−1)zf′(z)f(z)−(A−1)(B+1)zf′(z)f(z)−(A+1)−1|.$$\Re \left( {{{(B - 1){{zf'(z)}
Yağmur Nihat
doaj   +1 more source

Estimate of third Hankel determinant for a subfamily of analytic functions

Annals of the West University of Timisoara: Mathematics and Computer Science, 2023
In this article, our aim is to study analytic functions related with Salagean operator and associated with the right half of the lemniscate of Bernoulli. We find the estimates of the third Hankel determinant for new family of analytic functions.
Shah Syed Ghoos Ali, Hussain Saqib, Lateef Shahid, Sakar F. Müge, Darus Maslina   +4 more
doaj   +1 more source

Coefficient Inequalities Related With Apple‐Like Functions

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
Several subfamilies of Ma and Minda starlike and convex functions have been examined differently through individual generating functions in the literature. However, little or no effort has been devoted to subfamily arising from the product of these generating functions.
Aiman Sana, Afis Saliu, Sadia Riaz, Yufeng Xu   +3 more
wiley   +1 more source

Some results of homogeneous expansions for a class of biholomorphic mappings defined on a Reinhardt domain in ℂn

Demonstratio Mathematica, 2023
Let Sγ,A,B∗(D){S}_{\gamma ,A,B}^{\ast }\left({\mathbb{D}}) be the usual class of gg-starlike functions of complex order γ\gamma in the unit disk D={ζ∈C:∣ζ∣
Sima Xiaoying, Tu Zhenhan, Xiong Liangpeng   +2 more
doaj   +1 more source

Unified Approach of the Logarithmic Coefficient Bounds for the Class of Bazilevic˘ Functions

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
The investigation of logarithmic coefficients in the theory of univalent functions began with Milin, who demonstrated their importance for understanding geometric features of these mappings through their connection with the Taylor coefficients hm. If S denotes the family of univalent functions on the unit disk D with the expansion hz=z+∑m=2∞hmzm, the ...
Ebrahim Analouei Adegani, Nafya Hameed Mohammed, Teodor Bulboacă, Giovanni Di Fratta   +3 more
wiley   +1 more source

Certain Classes of Analytic Functions Associated With q-Analogue of p-Valent Cătaş Operator

Moroccan Journal of Pure and Applied Analysis, 2021
In this paper, we investigate several interesting properties for certain class of analytic functions defined by q-analogue of p-valent Cătaş operator. All our results are sharp.
Aouf M. K., Madian S.M.
doaj   +1 more source

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, Umar Raza, Afis Saliu, Tanweer Sohail, Mohammad W. Alomari   +4 more
wiley   +1 more source

Effect of a ceruminolytic ear cleaner on clinical, microbiological and ear canal microbiome evolution in canine erythemato‐ceruminous otitis externa associated with proliferation of Malassezia yeasts

Veterinary Dermatology, Volume 36, Issue 5, Page 668-678, October 2025.
Background – Erythemato‐ceruminous otitis externa (ECOE) is commonly associated with Malassezia spp. and microbial imbalance. Hypothesis/Objective – To assess the clinical performance of an ear cleaner in dogs suffering from ECOE associated with Malassezia spp. overgrowth and to measure its impact on the microbiota. Conclusions and Clinical Relevance –
Amaury Briand, Emmanuel Bensignor, Hélène Dropsy, Odile Crosaz, Louis Humeau, Justine Cheval, Vanessa Demontant, Melissa N. Debi, Oscar Fantini, Hélène Dal, Jacques Guillot, Noelle Cochet Faivre   +11 more
wiley   +1 more source

Convex combination of analytic functions

Open Mathematics, 2017
Radii of convexity, starlikeness, lemniscate starlikeness and close-to-convexity are determined for the convex combination of the identity map and a normalized convex function F given by f(z) = α z+(1−α)F(z).
Cho Nak Eun, Jain Naveen Kumar, Ravichandran V.   +2 more
doaj   +1 more source

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, Mohamed Illafe, Feras Yousef, Shikha Binwal   +3 more
wiley   +1 more source