Results 51 to 60 of about 308 (156)

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

Fekete-Szegö functional for a class of non-Bazilevic functions related to quasi-subordination

Demonstratio Mathematica, 2023
In this article, we study the Fekete-Szegö functional associated with a new class of analytic functions related to the class of bounded turning by using the principle of quasi-subordination.
Shah Syed Ghoos Ali, Al-Sa’di Sa’ud, Hussain Saqib, Tasleem Asifa, Rasheed Akhter, Cheema Imran Zulfiqar, Darus Maslina   +6 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

On a Convexity Preserving Integral Operator [PDF]

, 2010
MSC 2010: 30C45, 30A20, 34C40In this paper we determine conditions an analytic function g needs to satisfy in order that the function Fgiven by (1) be ...
Irina Oros, Georgia, Oros, Gheorghe
core  

Majorization for certain classes of analytic functions defined by convolution structure [PDF]

, 2017
In this paper, we investigate majorization properties for certain classes of analytic functions defined by convolution structure. Also we point out some new and known consequences of our main result.
ALI, Ekram Elsayed
core   +1 more source

Results Related to the Sharp Coefficients Bounds for Symmetric Convex Functions Connected With the Sigmoid Function

Journal of Mathematics, Volume 2026, Issue 1, 2026.
A challenging task in studying geometric function theory is determining the sharp estimates for coefficient‐related results that come up in the Taylor series of analytic univalent functions. In the current paper, we attempt to establish some estimates of results concerning coefficient inequalities for the class of convex functions with respect to ...
Isra Al-Shbeil, Wael Mahmoud Mohammad Salameh, A. Alameer, Muhammad Abbas, Maha Alammari, Muhammad Arif, Alina Alb Lupaş, Smritijit Sen   +7 more
wiley   +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

Properties of a subclass of analytic functions defined by Riemann-Liouville fractional integral applied to convolution product of multiplier transformation and Ruscheweyh derivative

Demonstratio Mathematica, 2023
The contribution of fractional calculus in the development of different areas of research is well known. This article presents investigations involving fractional calculus in the study of analytic functions. Riemann-Liouville fractional integral is known
Alb Lupaş Alina, Acu Mugur
doaj   +1 more source

Coefficient Bounds and Fekete–Szegö Inequalities for a New Family of Bi‐Univalent Functions Associated With Horadam Polynomial

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We define in this paper a new class of normalized bi‐univalent functions through Horadam polynomials. The main aim of this paper is to provide sharp estimates for the second and third Taylor–Maclaurin coefficients of functions in this new class. We also obtain the Fekete–Szegö inequality for these functions.
Musthafa Ibrahim, Jihad Younis, Ali N. A. Koam, Mohammad Uzair Shah, Smritijit Sen   +4 more
wiley   +1 more source

Certain Differential Subordinations using a Generalized Sălăgean Operator and Ruscheweyh Operator [PDF]

, 2010
MSC 2010: 30C45, 30A20, 34A40In the present paper we define a new operator using the generalized Sălăgean operator and the Ruscheweyh ...
Alb Lupaş, Alina
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