Results 51 to 60 of about 2,322 (136)

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

Hankel determinant for a class of analytic functions [PDF]

open access: yes, 2019
Let $f$ be analutic in the unit disk $\mathbb D$ and normalized so that $f(z)=z+a_2z^2+a_3z^3+\cdots$. In this paper we give sharp bound of Hankel determinant of the second order for the class of analytic unctions satisfying \[ \left|\arg \left[\left ...
Obradovic, Milutin, Tuneski, Nikola
core   +1 more source

Geometric Properties of New Subclasses of Meromorphic Harmonic Functions Associated With Janowski Functions Defined by q‐Calculus

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
This paper establishes new applications of q‐calculus for meromorphic harmonic functions, utilizing concepts of convolutions, subordination, and the q‐difference operator. We introduce the q‐Ruscheweyh‐type derivative operator for meromorphic harmonic functions and utilize it to define and explore novel subclasses related to Janowski functions.
Ahmad A. Abubaker, Abdul Rauf Khan
wiley   +1 more source

On differential subordinations for a class of analytic functions defined by a linear operator

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 42, Page 2219-2230, 2004., 2004
We obtain several results concerning the differential subordination between analytic functions and a linear operator defined for a certain family of analytic functions which are introduced here by means of these linear operators. Also, some special cases are considered.
V. Ravichandran   +3 more
wiley   +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

Some Notes about a Class of Univalent Functions with Negative Coefficients [PDF]

open access: yes, 2010
MSC 2010: 30C45, 30C50The object of this paper is to obtain sharp results involving coefficient bounds, growth and distortion properties for some classes of analytic and univalent functions with negative ...
Pashkouleva, Donka
core  

Univalence criterion for meromorphic functions and Loewner chains

open access: yes, 2011
The object of the present paper is to obtain a more general condition for univalence of meromorphic functions in the U*. The significant relationships and relevance with other results are also given.
Becker   +13 more
core   +1 more source

Sufficient conditions for starlike functions associated with the lemniscate of Bernoulli [PDF]

open access: yes, 2013
Let −1 ...
Sivaprasad Kumar   +3 more
semanticscholar   +1 more source

Hankel and Toeplitz Determinants for q‐Starlike Functions Involving a q‐Analog Integral Operator and q‐Exponential Function

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
This article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q‐starlike functions defined by a q‐analog integral operator, which is a more general form of the q‐Srivastava‐Attiya operator, and the q‐exponential function eq(z).
Sarem H. Hadi   +3 more
wiley   +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

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