Cover Image

Hermitian–Toeplitz and Hankel determinants for Sakaguchi-type functions defined by a rational function

UDC 517.5 We obtain the best possible estimates for the Hermitian–Toeplitz determinant of the third order for a class of starlike functions with respect to a symmetric point associated with a rational function. In addition, we determine the upper bounds for the third Hankel determinants.

Saved in:

Bibliographic Details
Date:	2026
Main Authors:	Buyankara, Mucahit, Çağlar, Murat
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2026
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/8575
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants
by: Gharakhloo, Roozbeh, et al.
Published: (2020)

Third Hankel determinant for the class of analytic functions defined by Mathieu-type series related to a petal-shaped domain
by: T. Panigrahi, et al.
Published: (2024)

Third Hankel determinant for the class of analytic functions defined by Mathieu-type series related to a petal-shaped domain
by: Panigrahi, T., et al.
Published: (2024)

Estimates for analytic functions concerned with Hankel determinant
by: B. N. Цrnek
Published: (2021)

Estimates for analytic functions concerned with Hankel determinant
by: Örnek, B. N., et al.
Published: (2021)

On Hankel determinants of functions given by their expansions in $P$-fractions
by: Buslaev, V. I., et al.
Published: (2010)

Generalized kernels of the Toeplitz type for exponentially convex functions
by: O. B. Chernobai
Published: (2016)

Generalized kernels of the Toeplitz type for exponentially convex functions
by: Chernobai, O. B., et al.
Published: (2016)

Rational Solutions of Painlevé V from Hankel Determinants and the Asymptotics of Their Pole Locations
by: Balogoun, Malik, et al.
Published: (2025)

Radii of starlikeness and convexity of Bessel function derivatives
by: Deniz, E., et al.
Published: (2021)

Sharp bound for the second Hankel determinant for a $q$-starlike function associated with the $q$-exponential function
by: Kumar, Karri Sanjay, et al.
Published: (2026)

The sharp bound of the third Hankel determinant for certain subfamilies of analytic functions
by: B. Rath, et al.
Published: (2024)

The sharp bound of the third Hankel determinant for certain subfamilies of analytic functions
by: Rath, Biswajit, et al.
Published: (2024)

Radii of starlikeness and convexity of Bessel function derivatives
by: E. Deniz, et al.
Published: (2021)

Hankel Determinants of Zeta Values
by: Haynes, A., et al.
Published: (2015)

Deformed Hankel transform of Dini – Lipschitz functions
by: A. Elgargati, et al.
Published: (2022)

Deformed Hankel transform of Dini – Lipschitz functions
by: Elgargati , A., et al.
Published: (2022)

On the formula of generalized resolvents of a non-densely defined Hermitian operator
by: Malamud , M. M., et al.
Published: (1992)

On Jackson-Type Inequalities for Functions Defined on a Sphere
by: Babenko, V. F., et al.
Published: (2005)

On Kolmogorov-type inequalities for functions defined on a semiaxis
by: Babenko, V. F., et al.
Published: (2007)

On the singularity of representations of Hermitian indefinite functions and sequences
by: Gorbachuk, V. I., et al.
Published: (1966)

The sharp bound of certain second Hankel determinants for the class of inverse of starlike functions with respect to symmetric points
by: K. S. Kumar, et al.
Published: (2023)

The sharp bound of certain second Hankel determinants for the class of inverse of starlike functions with respect to symmetric points
by: Kumar, K. Sanjay, et al.
Published: (2023)

Characteristic functions of almost soluble expansion of the Hermitian operators
by: Derkach , V. A., et al.
Published: (1992)

Reciprocal derivatives of the 2nd type and rational functions
by: M. M. Pahiria
Published: (2015)

The Fekete–Szegö functional associated with $m$-th root transformation using conical domains
by: Gurusamy, P., et al.
Published: (2024)

A class of meromorphic Bazilevič-type functions defined by a differential operator
by: Arif, M., et al.
Published: (2026)

A class of meromorphic Bazilevič-type functions defined by a differential operator
by: K. I. Noor, et al.
Published: (2019)

Asymptotics for Hankel Determinants Associated to a Hermite Weight with a Varying Discontinuity
by: Charlier, C., et al.
Published: (2018)

Pointwise Inequalities of Landau–Kolmogorov Type for Functions Defined on a Finite Segment
by: Babenko, Yu. V., et al.
Published: (2001)

The Fekete–Szegö functional associated with m-th root transformation using conical domains
by: P. Gurusamy, et al.
Published: (2024)

Recursion Relation for Toeplitz Determinants and the Discrete Painlevé II Hierarchy
by: Chouteau, Thomas, et al.
Published: (2023)

Generalized Hardy Transformation and Toeplitz Operators in BMOA-Type Spaces
by: Shamoyan, R. F., et al.
Published: (2001)

Best mean-square approximation of functions defined on the real axis by entire functions of exponential type
by: Vakarchuk, S. B., et al.
Published: (2012)

Approximation of one class of differentiable functions by piecewise-HermitianL-splines
by: Novikov, S. I., et al.
Published: (1999)

Inequalities for complex rational functions
by: M. Bidkham, et al.
Published: (2021)

On rationally loxodromic holomorphic functions
by: D. V. Lukivska, et al.
Published: (2017)

Inequalities for complex rational functions
by: Bidkham, M., et al.
Published: (2021)

On rationally loxodromic holomorphic functions
by: Lukivska, Dz. V., et al.
Published: (2017)

On extension of continuous functions defined on a circle
by: Andriyuk, E. P., et al.
Published: (2004)