Results 21 to 30 of about 136 (107)

Convolutions of harmonic right half-plane mappings

open access: yesOpen Mathematics, 2016
We first prove that the convolution of a normalized right half-plane mapping with another subclass of normalized right half-plane mappings with the dilatation −z(a+z)/(1+az)$ - z(a + z)/(1 + az)$ is CHD (convex in the horizontal direction) provided a=1$a
Li YingChun, Liu ZhiHong
doaj   +1 more source

On a class of analytic functions generated by fractional integral operator

open access: yesConcrete Operators, 2017
In this note, we improve the idea of the Tsallis entropy in a complex domain. This improvement is contingent on the fractional operator in a complex domain (type Alexander).
Ibrahim Rabha W.
doaj   +1 more source

Estimate of third Hankel determinant for a subfamily of analytic functions

open access: yesAnnals 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   +4 more
doaj   +1 more source

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

open access: yesDemonstratio 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   +2 more
doaj   +1 more source

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

open access: yesMoroccan 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

On Subclasses of Spiral‐Like Functions Defined by the q‐Derivative Operator

open access: yesJournal 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
wiley   +1 more source

A Two‐Parameter Subclass of q‐Starlike Functions Associated With 1−sinz/cosz

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
Using the real parameters λ and τ with −1 ≤ τ < λ < 1, a generalized q−extension ψqz;λ,τ of the function ψz=1−sinz/cosz, in O´=z∈ℂ:z<1, is defined. The function ψqz;λ,τ is then used as a subordination function to construct a novel subclass; STq∗λ,τ of q−starlike functions.
Nehad Ali Shah   +4 more
wiley   +1 more source

Starlike Functions With Respect to a Boundary Point Connected With Bounded Radius Rotation

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
In the current article, we introduce a new subclass of univalent function Gμ with bounded radius rotation. For this new class, the authors establish many interesting relations between these classes and existing classes. Furthermore, authors try to find coefficient estimations for this new subclass.
Alhanouf Alburaikan   +5 more
wiley   +1 more source

On a subclass of analytic functions involving harmonic means

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
In the present paper, we consider a generalised subclass of analytic functions involving arithmetic, geometric and harmonic means. For this function class we obtain an inclusion result, Fekete-Szegö inequality and coefficient bounds for bi-univalent ...
Tudor Andreea-Elena, Rǎducanu Dorina
doaj   +1 more source

On some geometric results for generalized k-Bessel functions

open access: yesDemonstratio Mathematica, 2023
The main aim of this article is to present some novel geometric properties for three distinct normalizations of the generalized kk-Bessel functions, such as the radii of uniform convexity and of α\alpha -convexity.
Toklu Evrim
doaj   +1 more source

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