Results 31 to 40 of about 111 (99)

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

open access: yesJournal 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   +4 more
wiley   +1 more source

Fekete-Szegö and Hankel inequalities related to the sine function

open access: yesApplied Mathematics in Science and Engineering
The Fekete-Szegö inequality is one of the inequalities for the coefficients which associated with the famous Bieberbach conjecture. Other issues associated with this inequality are determining the Hankel determinant denoted as Hd inequalities which are ...
Muhammad Ashfaq   +3 more
doaj   +1 more source

On close-to-convex functions satisfying a differential inequality [PDF]

open access: yes, 2015
Let C α (β) denote the class of normalized functions f, analytic in the open unit disk E which satisfy the condition… …We claim that our result improves the result of Chichra, P. N. [1].
BILLING, Sukhwinder Singh
core  

Comparison of the in vitro antibiofilm activities of otic cleansers against canine otitis externa pathogens

open access: yesVeterinary Dermatology, Volume 36, Issue 2, Page 148-158, April 2025.
Background – Biofilm production by canine otitis externa (COE) pathogens and resistance development to multiple antimicrobials are commonly reported problems in veterinary practice. The use of adjuvants to disrupt biofilms may be a viable adjunctive therapy.
Bhumika F. Savaliya   +3 more
wiley   +1 more source

A study of analytic functions along with Poisson distribution

open access: yesApplied Mathematics in Science and Engineering
In this paper, we introduce some new families of analytic functions by using Hadamard product while keeping conic like domains in view. Like the area theorem, we determine sufficient conditions as well as characterizations of these functions. Furthermore,
Muhammad Ashfaq   +3 more
doaj   +1 more source

On generalized close-to-convexity related with strongly Janowski functions

open access: yes, 2023
Janowski functions of strongly type are used to define certain classes of analytic functions which generalize the concept of close-to-convexity and bounded boundary rotation.
SHAH, Shujaat Ali, NOOR, Khalida Inayat
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

A certain subclass of analytic functions associated with the quasi-subordination [PDF]

open access: yes, 2017
In the present paper we study quasi-subordination under a multivalent function and we consider a certain subclass of (normalized) analytic functions based on quasi-subordination.
RAHIMPOOR, Hossein, ARJOMANDINIA, Parviz
core   +1 more source

On Certain Improvements on Coefficient Bounds for a Subclass of Convex Functions Associated With Cosine Functions

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this article, we have studied the class Ccos of normalized analytic functions f satisfying 1 + zf″(z)/f′(z)≺cos(z). We present the improved coefficient bounds and the Hankel determinants of fourth order for functions lying in the class Ccos. We also extended the same results for the inverse function.
Umar Raza   +3 more
wiley   +1 more source

Majorization problem for general family of functions with bounded radius rotations

open access: yesArab Journal of Basic and Applied Sciences
In this article, we study the majorization problem for the general class of functions with bounded radius rotation, which the authors introduced here.
Kanwal Jabeen, Afis Saliu, Saqib Hussain
doaj   +1 more source

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