Results 21 to 30 of about 325 (120)

COEFFICIENT BOUND FOR A NEW SUBCLASS OF P-VALENT FUNCTIONS LEADING TO CLASSES OF P-VALENT STARLIKE AND CONVEX FUNCTIONS [PDF]

, 2022
We will describe a subclass of p-valent analytic functions in this paper and will obtain sharp upper bounds of the functional  for the analytic function  belonging to this ...
Preet Pal Singh, Gurmeet Singh
core   +2 more sources

Certain Analytic Functions Defined by Generalized Mittag‐Leffler Function Associated with Conic Domain

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In the present paper, we investigate and introduce several properties of certain families of analytic functions in the open unit disc, which are defined by q‐analogue of Mittag‐Leffler function associated with conic domain. A number of coefficient estimates of the functions in these classes have been obtained.
Adel A. Attiya, T. M. Seoudy, M. K. Aouf, Abeer M. Albalahi, Salah Mahmoud Boulaaras   +4 more
wiley   +1 more source

The Sharp Upper Bounds of the Hankel Determinant on Logarithmic Coefficients for Certain Analytic Functions Connected with Eight‐Shaped Domains

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The present study’s intention is to produce exact estimations of some problems involving logarithmic coefficients for functions belonging to the considered subcollection BTsin of the bounded turning class. Furthermore, for the class BTsin, we look into the accurate bounds of the Zalcman inequality, Fekete‐Szegö inequality along with D21,Gg/2 and D22,Gg/
Pongsakorn Sunthrayuth, Naveed Iqbal, Muhammad Naeem, Yousef Jawarneh, Sallieu K. Samura, Mohsan Raza   +5 more
wiley   +1 more source

Second Hankel Determinant for Certain Subclasses of Bi-starlike Functions Defined by Differential Operators [PDF]

Sahand Communications in Mathematical Analysis, 2023
In this paper, we obtain  upper bounds of the initial Taylor-Maclaurin coefficients $\left\vert a_{2}\right\vert ,$ $\left\vert a_{3}\right\vert $ and $\left\vert a_{4}\right\vert $ and of the Fekete-Szegö functional $\left\vert a_{3}-\eta a_{2}^{2 ...
Halit Orhan, Hava Arikan, Murat Çağlar
doaj   +1 more source

The Second Hankel Determinant of Logarithmic Coefficients for Starlike and Convex Functions Involving Four‐Leaf‐Shaped Domain

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this particular research article, we take an analytic function Q4L=15616+/z+/z5, which makes a four‐leaf‐shaped image domain. Using this specific function, two subclasses, S4L∗ and C4L, of starlike and convex functions will be defined. For these classes, our aim is to find some sharp bounds of inequalities that consist of logarithmic coefficients ...
Azzh Saad Alshehry, Rasool Shah, Abdul Bariq, Sarfraz Nawaz Malik   +3 more
wiley   +1 more source

Bounds for Toeplitz Determinants and Related Inequalities for a New Subclass of Analytic Functions

Mathematics, 2023
In this article, we use the q-derivative operator and the principle of subordination to define a new subclass of analytic functions related to the q-Ruscheweyh operator.
Huo Tang, Ihtesham Gul, Saqib Hussain, Saima Noor   +3 more
doaj   +1 more source

COEFFICIENT BOUNDS FOR REGULAR AND BI-UNIVALENT FUNCTIONS LINKED WITH GEGENBAUER POLYNOMIALS

Проблемы анализа, 2021
The main goal of the paper is to initiate and explore two sets of regular and bi-univalent (or bi-Schlicht) functions in 𝔇 = {𝑧 ∈ C : |𝑧| < 1} linked with Gegenbauer polynomials.
S. R. Swamy, S. Yalçın
doaj   +1 more source

Properties of Meromorphic Spiral‐Like Functions Associated with Symmetric Functions

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
To consolidate or adapt to many studies on meromorphic functions, we define a new subclass of meromorphic functions of complex order involving a differential operator. The defined function class combines the concept of spiral‐like functions with other studies pertaining to subclasses of multivalent meromorphic functions.
Daniel Breaz, Luminița-Ioana Cotîrlă, Elangho Umadevi, Kadhavoor R. Karthikeyan, Sibel Yalçın   +4 more
wiley   +1 more source

A Comprehensive Family of Biunivalent Functions Defined by k-Fibonacci Numbers

Journal of Function Spaces, 2021
By using k-Fibonacci numbers, we present a comprehensive family of regular and biunivalent functions of the type gz=z+∑j=2∞ djzj in the open unit disc D.
Basem Aref Frasin, Sondekola Rudra Swamy, Ibtisam Aldawish   +2 more
doaj   +1 more source

Bernardi Integral Operator and Its Application to the Fourth Hankel Determinant

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In recent years, the theory of operators got the attention of many authors due to its applications in different fields of sciences and engineering. In this paper, making use of the Bernardi integral operator, we define a new class of starlike functions associated with the sine functions.
Abid Khan, Mirajul Haq, Luminiţa-Ioana Cotîrlă, Georgia Irina Oros, Mohammed S. Abdo   +4 more
wiley   +1 more source