Results 71 to 80 of about 308 (156)

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

open access: yesJournal 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   +3 more
wiley   +1 more source

Bi‐Starlike Function of Complex Order Involving Rabotnov Function Associated With Telephone Numbers

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
Telephone numbers defined through the recurrence relation Qn=Qn−1+n−1Qn−2 for n ≥ 2, with initial values of Q0=Q1=1. The study of such numbers has led to the establishment of various classes of analytic functions associated with them. In this paper, we establish two new subclasses of bi‐convex and bi‐starlike functions of complex order in the open unit
Sa’ud Al-Sa’di   +3 more
wiley   +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

Certain sufficient conditions for parabolic starlike and uniformly close-to-convex functions [PDF]

open access: yes, 2016
In the present paper, we study certain differential subordinations and obtain sufficient conditions for parabolic starlikeness and uniformly close-toconvexity of analytic functions.
BILLING, Sukhwinder Singh, BRAR, Richa
core  

Faber Polynomial Coefficients and Applications in Analytic Function Class

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
Through this paper, by using the subordination definition, the ℘‐analogues Cătaş operator I℘nλ,I, complex order, and biunivalent functions with coefficients introduced by Faber polynomial expansion, we introduced the new class S℘,n∗f,λ,I,ξ,α,ϕ. A Faber polynomial is known as a sequence of polynomials that are used to approximate an analytic function on
Samar Mohamed   +2 more
wiley   +1 more source

Coefficient inequality for subclass of analytic univalent functions related to simple logistic activation functions [PDF]

open access: yes, 2016
The author investigates the relationship between unified subclasses of analytic univalent functions and simple logistic activation function to determine the initial Taylor series coefficients alongside classical Fekete-Szegő problem.
OLADIPO, Abiodun Tinuoye
core  

Differential sandwich theorems for p-valent analytic functions associated with a generalization of the integral operator

open access: yesDemonstratio Mathematica
In this study, subordination, superordination, and sandwich theorems are established for a class of p-valent analytic functions involving a generalized integral operator that has as a special case p-valent Sălăgean integral operator. Relevant connections
Almutairi Norah Saud   +2 more
doaj   +1 more source

On the univalence of an integral operator [PDF]

open access: yes, 2015
In this paper we introduce a new general integral operator for analytic functions in the open unit disk and we derive some criteria for univalence of this integral operator.
PESCAR, Virgil
core  

Coefficient Inequalities using Lucas Polynomials

open access: yes, 2021
The aim of this paper is to apply Lucas polynomial, in order to obtain the initial coefficients on and  belonging to the new subclass   of analytic, univalent and Sakaguchi functions as defined in the open unit disc .
et. al., P. Lokesh,
core   +1 more source

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