Results 41 to 50 of about 112 (107)

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

A subordination theorem for spirallike functions

International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 7, Page 433-435, 2000., 2000
We prove a subordination relation for a subclass of the class of λ‐spirallike functions.
Sukhjit Singh
wiley   +1 more source

Pascu-type p-valent functions associated with the convolution structure [PDF]

, 2015
Making use of convolution structure, we introduce a new class of pvalent functions. Among the results presented in this paper include the coecient bounds, distortion inequalities, extreme points and integral means inequalities for this generalized class ...
SÜMER EKER, Sevtap, ÖNER, Birgül
core  

On the coefficient estimates for a subclass of m-fold symmetric bi-univalent functions [PDF]

In this work, we introduce and investigate a subclass of analytic and bi-univalent functions when both f and f-1 are m-fold symmetric in the open unit disk U.
HOSSEINI, Seyed Hadi, SALEHIAN, Safa, PÁLL-SZABÓ, Ágnes Orsolya, MOTAMEDNEZHAD, Ahmad   +3 more
core   +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

A new criterion for close‐to‐convexity of partial sums of certain hypergeometric functions

International Journal of Stochastic Analysis, Volume 10, Issue 2, Page 197-202, 1997., 1997
We consider the partial sums of certain hypergeometric functions and establish conditions imposed on the locations of zeros of those polynomials in order to be close‐to‐convex in the open unit disk.
Massoud Jahangiri
wiley   +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

Univalence for convolutions

International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 1, Page 201-203, 1996., 1996
The radius of univalence is found for the convolution f∗g of functions f ∈ S (normalized univalent functions) and g ∈ C (close‐to‐convex functions). A lower bound for the radius of univalence is also determined when f and g range over all of S. Finally, a characterization of C provides an inclusion relationship.
Herb Silverman
wiley   +1 more source

Hadamard Product on Subclasses of Meromorphic Functions Involving q‐Difference Operator

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
By making use of a q‐derivative operator, certain families of meromorphic q‐starlike functions and meromorphic q‐convex functions are introduced and studied. In this paper, we define a q‐analogous value of differential operators for meromorphic functions with the help of basic concepts of quantum (q‐)calculus operator theory and introduce new ...
W. Y. Kota, R. M. El-Ashwah, Nicoleta Breaz, Shrideh K. Q. Al-Omari   +3 more
wiley   +1 more source

Second Hankel determinant for a class of analytic functions defined by q-derivative operator

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we obtain the estimates for the second Hankel determinant for a class of analytic functions defined by q-derivative operator and subordinate to an analytic function.
Răducanu Dorina
doaj   +1 more source