Results 11 to 20 of about 121 (87)

Hankel and Symmetric Toeplitz Determinants for a New Subclass of q-Starlike Functions

Fractal and Fractional, 2022
This paper considers the basic concepts of q-calculus and the principle of subordination. We define a new subclass of q-starlike functions related to the Salagean q-differential operator.
Isra Al-shbeil, Jianhua Gong, Shahid Khan, Nazar Khan, Ajmal Khan, Mohammad Faisal Khan, Anjali Goswami   +6 more
doaj   +2 more sources

Asymptotic Formulas for Determinants of a Sum of Finite Toeplitz and Hankel Matrices [PDF]

Mathematische Nachrichten, 2001
The purpose of this paper is to describe asymptotic formulas for determinants of a sum of finite Toeplitz and Hankel matrices with singular generating functions. The formulas are similar to those of the analogous problem for finite Toeplitz matrices for a certain class of symbols. However, the appearance of the Hankel matrices changes the nature of the
Torsten Ehrhardt
exaly   +4 more sources

Hankel and Toeplitz Determinants for a Subclass of q-Starlike Functions Associated with a General Conic Domain [PDF]

Mathematics, 2019
By using a certain general conic domain as well as the quantum (or q-) calculus, here we define and investigate a new subclass of normalized analytic and starlike functions in the open unit disk U .
Hari M. Srivastava, Qazi Zahoor Ahmad, Nasir Khan, Nazar Khan, Bilal Khan   +4 more
doaj   +2 more sources

On the Determinants for a Class of Analytic Function Using Sigmoid Beta-Catas Operator

Journal of Function Spaces
Geometric function theory (GFT) is the study of geometric properties of analytic functions. The cornerstone of GFT is the theory of univalent functions.
Olubunmi A. Fadipe-Joseph, Olanike R. Oluwaseyi, E. O. Opaleye, Uzoamaka A. Ezeafulukwe   +3 more
doaj   +2 more sources

A Widom like formula for some Toeplitz plus Hankel determinants

Journal of Mathematical Analysis and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +3 more sources

Fourth Hankel and Toeplitz determinant estimates for certain analytic functions associated with Four Leaf function

Extracta Mathematicae
The objective of this paper is to establish initial coefficient inequalities, Upper bounds to the Hankel and Toeplitz determinants for certain normalized univalent functions defined on the open unit disk D in the complex plane related to the analytic ...
R. Rudrani, R. Bharavi Sharma, S. Sambasiva Rao   +2 more
doaj   +2 more sources

Hankel and Toeplitz Determinants for q-Analog Functions Defined by Linear Multiplier q-Differintegral Operator

Mathematics
In this paper, we define new subclasses Cq(t,λ,δ,n) and Kq(η,t,λ,δ,n) of analytic functions by using a Linear Multiplier q-differintegral operator with a generalized binomial series. In particular, we find the Hankel, Toeplitz determinant boundary values
Ningegowda Ravikumar, Basem Aref Frasin, Hari Mohan Srivastava, Haladasanahalli Shivanna Roopa, Ibtisam Aldawish   +4 more
doaj   +2 more sources

Bounds for Hankel and Toeplitz Determinants of Certain Subclasses of Analytic Functions Associated with Quantum Calculus and Quasi-Subordination

Axioms
In our present study, we introduce and examine several new subclasses of analytic functions defined through the convolution operator HYλ,q, which is formulated using the classical error function. Our approach relies on the concept of quasi-subordination,
Zahid Shareef, Adriana Catas, Adeel Ahmad, Aamina Bibi, Saqib Hussain, Fethiye Müge Sakar   +5 more
doaj   +2 more sources

Hankel and Toeplitz Determinants of Logarithmic Coefficients of Inverse Functions for Certain Classes of Univalent Functions

Iranian Journal of Science
15 pages.
Molla Ahamed, Partha Pratim Roy, Ahamed Molla Basir   +2 more
exaly   +3 more sources

Bounds for Hermitian Toeplitz and Hankel Determinants for a Certain Subclass of Analytic Functions Related to the Sine Function

Symmetry
This study of Hankel and Hermitian Toeplitz determinants is one of the major areas of interest in Geometric function theory and has wide applications in the areas of signal processing and Applied Mathematics. In our present investigations, we define a new subclass of normalized analytic functions H(λ)(λ≥0), defined using a subordination relation with ...
Daniel Breaz, Breaz Daniel
exaly   +2 more sources