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The Sharp Bound of Certain Second Hankel Determinants for the Class of Inverse of Starlike Functions with Respect to Symmetric Points
We investigate the sharp bound of certain coefficient functionals associated with a Hankel determinant of the second kind for the inverse function...
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Hankel determinants of order four for a set of functions with bounded turning of order α
We investigate the bounds of Hankel determinants H 4 , 1 ( f ), H 4 , 2 ( f ), H 4 , 3 ( f ) for the set of functions with bounded turning of order alpha. We also...
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Semi-classical Jacobi polynomials, Hankel determinants and asymptotics
We study orthogonal polynomials and Hankel determinants generated by a symmetric semi-classical Jacobi weight. By using the ladder operator...
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Linear Sections of the Generic Square Hankel Matrix
Hankel matrices (or their Toeplitz versions) have a classic history in Analysis and Functional Operator Theory. One of the best-known problems, which...
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On the Third and Fourth Hankel Determinants for a Subclass of Analytic Functions
The objective of this paper is to investigate the third and fourth Hankel determinants for the class of functions with bounded turning associated...
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On linear algebra of r-Hankel and r-Toeplitz matrices with geometric sequence
Matrix theory plays a crucial role in solving practical problems and performing computational operations. In particular, specific types of matrices...
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Sharp bounds on the third Hankel determinant for the Ozaki close-to-convex and convex functions
Our main purpose in this paper is to obtain certain sharp estimates of the third Hankel determinant for the class ℱ of Ozaki close-to-convex...
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Upper bound for the second and third Hankel determinants of analytic functions associated with the error function and q-convolution combination
Recently, El-Deeb and Cotîrlă (Mathematics 11:11234834,
2023 ) used the error function together with a q -convolution to introduce a new operator. By... -
Hankel determinant for a general subclass of m-fold symmetric biunivalent functions defined by Ruscheweyh operators
Making use of the Hankel determinant and the Ruscheweyh derivative, in this work, we consider a general subclass of m -fold symmetric normalized...
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Bounds on Hermitian-Toeplitz and Hankel determinants for strongly starlike functions
The sharp upper and lower bounds on the Hermitian-Toeplitz determinant of third order are computed for the classes of strongly starlike functions,...
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Asymptotic Structure of Eigenvalues and Eigenvectors of Certain Triangular Hankel Matrices
AbstractThe Hankel matrices considered in this article arose in one reformulation of the Riemann hypothesis proposed earlier by the author. Computer...
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Second Hankel determinant for a certain subclass of analytic functions defined by hypergeometric functions
In the present paper, we obtain the upper bounds for the second Hankel determinant and Fekete-Szegö inequalities for a new subclass of analytic...
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Estimates for Analytic Functions Connected with Hankel Determinant
We give an upper bound of the first-order Hankel determinant ( H 2 (1)) for the classes of analytic functions. In addition, an estimate with Hankel...