Results 1 to 10 of about 653 (205)

The second and third Hankel determinants for starlike and convex functions associated with Three-Leaf function [PDF]

Heliyon, 2023
In this paper, we give sharp bounds of the Hankel determinant H2(3)(f) for the coefficients of functions in the class of starlike functions related to a domain that is like three leaves.
Amina Riaz, Mohsan Raza, Muhammad Ahsan Binyamin, Afis Saliu   +3 more
doaj   +4 more sources

Selberg integrals and Hankel determinants [PDF]

Discrete Mathematics & Theoretical Computer Science, 2014
In our previous works "Pfaffian decomposition and a Pfaffian analogue of $q$-Catalan Hankel determinants'' (by M.Ishikawa, H. Tagawa and J. Zeng, J. Combin. Theory Ser.
Masao Ishikawa, Jiang Zeng
doaj   +5 more sources

Determinants of Hankel Matrices [PDF]

Journal of Functional Analysis, 2001
18 pages, LaTeX ...
, Harold Widom
exaly   +5 more sources

Hankel determinant for certain new classes of analytic functions associated the activation functions [PDF]

Heliyon, 2023
In this article, we introduce two new classes of analytic functions Jtanh and JSG which are associated with the activation functions and defined by the ratio of analytic representations of convex and starlike functions.
YueJuan Sun, Muhammad Arif, Khalil Ullah, Lei Shi, Muhammad Imran Faisal   +4 more
doaj   +2 more sources

Certain inequalities related with Hankel and Toeplitz determinant for q-starlike functions [PDF]

Heliyon
In the present article, we prove the sharp upper bounds for the second order Hankel determinants |H2(1)|,|H2(2)| and related functionals |a2a3−a4|, |a2a5−a3a4| for q-starlike functions.
Ihtesham Gul, Sa'ud Al-Sa'di, Saqib Hussain, Saima Noor   +3 more
doaj   +2 more sources

Boundary values of Hankel and Toeplitz determinants for q-convex functions [PDF]

MethodsX
The study of holomorphic functions has been recently extended through the application of diverse techniques, among which quantum calculus stands out due to its wide-ranging applications across various scientific disciplines. In this context, we introduce
Sarem H. Hadi, Timilehin Gideon Shaba, Zainab S. Madhi, Maslina Darus, Alina Alb Lupaş, Fairouz Tchier   +5 more
doaj   +2 more sources

Third-order Hankel determinant sharp estimates for the inverse of complex valued holomorphic functions [PDF]

Heliyon
Determining coefficient estimates of inverse complex valued function is often more challenging than determining the function itself, leading to a lack of articles on inverse functions by examining sharp estimates of the third-order Hankel determinant ...
Muhammad Abbas, Teodor Bulboacă, Reem K. Alhefthi, Muhammad Arif   +3 more
doaj   +2 more sources

Bounds on Hankel Determinants with Fekete-Szegö Parameter for Bazilević Functions [version 2; peer review: 2 approved, 1 not approved] [PDF]

F1000Research
Background In Geometric Function Theory, a central area of complex analysis, researchers study the geometric properties of analytic and univalent functions in the unit disk.
Abdul Rahman S.Juma, Nathir Khaled
doaj   +2 more sources

Estimation of Hankel inequalities of symmetric starlike functions in crescent-shaped domains and their application in image processing [PDF]

Scientific Reports
This study explores some geometric properties of the class of symmetric starlike functions associated with a Crescent-shaped domain denoted by $$\mathcal {SS}^{*}_{\mathcalligra{cre}}$$ .
Bushra Kanwal, Arooj Iman, Shamsa Kanwal, Amal K. Alkhalifa   +3 more
doaj   +2 more sources

Hankel and Toeplitz Determinants for q-Starlike Functions Involving a q-Analog Integral Operator and q-Exponential Function

Journal of Function Spaces
This article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q-starlike functions defined by a q-analog integral operator, which is a more general form of the q-Srivastava-Attiya operator, and the q ...
Sarem H. Hadi, Maslina Darus, Rabha W. Ibrahim   +2 more
doaj   +2 more sources