Results 71 to 80 of about 339 (158)

Strong subordination and superordination with sandwich-type theorems using integral operators

, 2021
The notions of strong differential subordination and superordination have been studied recently by many authors. In the present paper, using these concepts, we obtain some preserving properties of certain nonlinear integral operator defined on the space ...
ARJOMANDINIA, Parviz, AGHALARY, Rasoul
core   +1 more source

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

Journal 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, Mohsan Raza, Afis Saliu, Ming-Sheng Liu   +3 more
wiley   +1 more source

A new class of (j; k)-symmetric harmonic starlike functions [PDF]

, 2015
Using the concepts of (j; k)-symmetrical functions we define the class of sense-preserving harmonic univalent functions SHj;ks (β), and prove certain interesting results.
AL SARARI, Fuad, SATYANARAYANA, Latha
core  

On sandwich theorems for some subclasses defined by generalized hypergeometric functions [PDF]

, 2017
In this paper we derive some subordination and superordination results for certain normalized analytic functions in the open unit disc, which are acted upon by a class of generalized hypergeometric function Hq,s(α1).
EL-ASHWAH, Rabha Mohamed, ALI, Ekram Elsayed, AOUF, Mohamed Kamal   +2 more
core   +1 more source

Faber Polynomial Coefficients and Applications in Analytic Function Class

Journal 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, Fatma Z. El-Emam, Pramita Mishra   +2 more
wiley   +1 more source

Some Notes about a Class of Univalent Functions with Negative Coefficients [PDF]

, 2010
MSC 2010: 30C45, 30C50The object of this paper is to obtain sharp results involving coefficient bounds, growth and distortion properties for some classes of analytic and univalent functions with negative ...
Pashkouleva, Donka
core  

Third Hankel determinant for reciprocal of bounded turning function has a positive real part of order alpha [PDF]

, 2017
The objective of this paper is to obtain an upper bound to the third Hankel determinant denoted by |H3(1)| for certain subclass of univalent functions, using Toeplitz determinants.
RANI, Nekkanti, VENKATESWARLU, Bolineni
core   +1 more source

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

Demonstratio 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, Shahen Awatef, Darwish Hanan   +2 more
doaj   +1 more source

A class of harmonic univalent functions associated with modified q−Cătaș operator

Using the modified q−Cătaș operator, we define a class of harmonic univalent functions and obtain various properties for functions in this class.
AOUF, Mohamed K., MOSTAFA, Adela O.
core   +1 more source

Study of A Class Of Multivalent Functions Defined By Dziak - Srivastava Operat With Application On Fractional Calculus

, 2021
In the this paper we introduced  a class  of Multivalent  functions with negative coefficients defined by Dziak-Srivastava  operator and some application of Fractional Calculus , we obtain some theorems of this class.  ...
et. al., Ameen Khlaif Sachit,
core