Nurdiana Binti Nurali and Aini Janteng (2023) Results on toeplitz determinants for subclasses of analytic functions associated to qderivative operator. Science and Technology Indonesia, 9 (2). pp. 15. ISSN 25804405
Text
ABSTRACT.pdf Download (68kB) 

Text
FULL TEXT.pdf Restricted to Registered users only Download (603kB)  Request a copy 
Abstract
An analytic function, also known as a holomorphic function, is a complexvalued function that is differentiable at every point within a given domain. In other words, a function f (z) is analytic in a domain U if it has a derivative f ′ (z) at every point z in U. Let A represent the set of functions f that are analytic within the open unit disk D = {z ∈ ℂ : z < 1}. These functions possess a normalized TaylorMaclaurin series expansion written in the form f (z) = z + Í∞ n=2 an z n where an ∈ ℂ, n = 2, 3, . . .. In recent years, the field of qcalculus has gained significant attention and research interest among mathematicians. The applications of this field are broadly applied in numerous subdivisions of physics and mathematics. In this research, we assume that S ∗ q and ℝq are subclasses of analytic functions obtained by applying the qderivative operator. The objective of this paper is to obtain estimates for coefficient inequalities and Toeplitz determinants whose elements are the coefficients an for f ∈ S ∗ q and f ∈ Rq .
Item Type:  Article 

Keyword:  Analytic Functions, Toeplitz Determinant, Quantum (or q) Calculus, qDerivative Operator 
Subjects:  Q Science > QA Mathematics > QA1939 Mathematics Q Science > QA Mathematics > QA1939 Mathematics > QA299.6433 Analysis 
Department:  FACULTY > Faculty of Science and Natural Resources 
Depositing User:  ABDULLAH BIN SABUDIN  
Date Deposited:  15 Jul 2024 11:57 
Last Modified:  15 Jul 2024 11:57 
URI:  https://eprints.ums.edu.my/id/eprint/39168 
Actions (login required)
View Item 