Results 41 to 50 of about 2,351 (152)
The Fekete-Szegö functional problems for some subclasses of m-fold symmetric bi-univalent functions
, 2016 In this paper, we introduce several new subclasses of the class of m -fold symmetric bi-univalent functions and obtain estimates of the Taylor-Maclaurin coefficients |am+1| , |a2m+1| and Fekete-Szegö functional problems for functions in these new ...
Huo Tang +3 more
semanticscholar +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 +3 more
wiley +1 more source
On univalent functions defined by a generalized Sălăgean operator
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 27, Page 1429-1436, 2004., 2004 We introduce a class of univalent functions Rn(λ, α) defined by a new differential operator Dnf(z), n ∈ ℕ0 = {0, 1, 2, …}, where D0f(z) = f(z), D1f(z) = (1 − λ)f(z) + λzf′(z) = Dλf(z), λ ≥ 0, and Dnf(z) = Dλ(Dn−1f(z)). Inclusion relations, extreme points of Rn(λ, α), some convolution properties of functions belonging to Rn(λ, α), and other results are ...
F. M. Al-Oboudi
wiley +1 more source
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 +4 more
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Applications of Subordination Principle to Log-Harmonic Mappings [PDF]
, 2010 MSC 2010: 30C45, 30C55The aim of this paper is to give some applications of subordination principle to log-harmonic ...
Esra Özkan, H. +2 more
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On a Class of Analytic Univalent Functions Associated with (H-R) Fractional Derivative
Muthanna Journal of Pure ScienceIn this paper, we introduced a class of analytic functions defined by (H–R) fractional derivative defined in the unit disk, we obtained coefficient bounded, so we obtained some theorems of this class. 2000Mathematics Subject classification: 30C45.
Nidaa Hasan Haji
semanticscholar +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 +4 more
wiley +1 more source
The class of functions spirallike with respect to a boundary point
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 40, Page 2133-2143, 2004., 2004 The aim of this paper is to present an analytic characterization of the class of functions δ‐spirallike with respect to a boundary point. The method of proof is based on Julia′s lemma.
Adam Lecko
wiley +1 more source
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 +2 more
doaj +1 more source