Zongtao Li
Zongtao Li has a total of 15 co-authors. Here are the top co-authors by number of shared publications:
- Huo Tang
School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China
5 shared publications - Dong Guo
School of Mathematical Sciences, Yangzhou Polytechnic Institute, Yangzhou, China; Yangzhou Polytechnic University, Yangzhou, China, China
4 shared publications - Dong Guo
Yangzhou Polytechnic University, China
4 shared publications - Qingbing Xu
Department of Basic Disciplines, Chuzhou Polytechnic College, Chuzhou 239000, China
3 shared publications - Xi Luo
Jiaying University, China
3 shared publications - En Ao
College of Mathematics and Computer Science, Chifeng University, Chifeng 024000, China
2 shared publications
Latest Publications
- 1 January 2027
- Published by Wilmington Scientific Publisher, LLC in Journal of Applied Analysis & Computation
- Vol. 17 (2) , 1351-1373
HANKEL DETERMINANTS OF INVERSE FUNCTIONS AND INVERSE LOGARITHMIC COEFFICIENTS FOR CERTAIN CLASSES OF UNIVALENT FUNCTIONS
For some subclasses of Starlike with respect to symmetric points, the sharp upper bounds of the third-order Hankel determinant of inverse functions and Hankel determinants of $ \mathcal H_{2,1}(G_{\Gamma^{-1}}/2) $ and $ \mathcal H_{2,2}(G_{\Gamma^{-1}}/2) $ with logarithmic inverse coefficients are obtained.- 1 January 2027
- Published by Wilmington Scientific Publisher, LLC in Journal of Applied Analysis & Computation
- Vol. 17 (2) , 1351-1373
HANKEL DETERMINANTS OF INVERSE FUNCTIONS AND INVERSE LOGARITHMIC COEFFICIENTS FOR CERTAIN CLASSES OF UNIVALENT FUNCTIONS
For some subclasses of Starlike with respect to symmetric points, the sharp upper bounds of the third-order Hankel determinant of inverse functions and Hankel determinants of $ \mathcal H_{2,1}(G_{\Gamma^{-1}}/2) $ and $ \mathcal H_{2,2}(G_{\Gamma^{-1}}/2) $ with logarithmic inverse coefficients are obtained.- 1 January 2027
- Published by Wilmington Scientific Publisher, LLC in Journal of Applied Analysis & Computation
- Vol. 17 (2) , 1038-1063
THE SHARP BOUNDS OF HANKEL DETERMINANTS AND HANKEL DETERMINANTS OF LOGARITHMIC COEFFICIENTS FOR STARLIKE AND CONVEX FUNCTIONS ASSOCIATED WITH GREGORY COEFFICIENTS
For some subclasses of Starlike and Convex functions associated with Gregory coefficient, the sharp upper bounds for the second Hankel determinant and the third-order Hankel determinant and Hankel determinant $ \mathcal H_{2,1}(G_g/2) $ and $ \mathcal H_{2,2}(G_g/2) $ with a logarithmic coeffcient are computed.- 1 January 2027
- Published by Wilmington Scientific Publisher, LLC in Journal of Applied Analysis & Computation
- Vol. 17 (2) , 1038-1063
THE SHARP BOUNDS OF HANKEL DETERMINANTS AND HANKEL DETERMINANTS OF LOGARITHMIC COEFFICIENTS FOR STARLIKE AND CONVEX FUNCTIONS ASSOCIATED WITH GREGORY COEFFICIENTS
For some subclasses of Starlike and Convex functions associated with Gregory coefficient, the sharp upper bounds for the second Hankel determinant and the third-order Hankel determinant and Hankel determinant $ \mathcal H_{2,1}(G_g/2) $ and $ \mathcal H_{2,2}(G_g/2) $ with a logarithmic coeffcient are computed.- Open Access
- 30 July 2026
- Published by MDPI AG in Preprints.org
Coefficient Estimates for the Class \( \mathcal CL \)In this paper, we study coefficient problems in some subclasses of convex functions. More precisely, we determine the upper bounds of initial coefficients \( |a_i|(2\leq i\leq 6) \), Zalcman inequalities, the second and third Hankel determinants, the second-order Hankel determinant of logarithmic coefficients and the third Hankel determinant of inverse functions for the class \( \mathcal CL \). All of the bounds are sharp.- 30 July 2026
- Published by MDPI AG in Preprints.org
Open AccessCoefficient Estimates for the Class \( \mathcal CL \)In this paper, we study coefficient problems in some subclasses of convex functions. More precisely, we determine the upper bounds of initial coefficients \( |a_i|(2\leq i\leq 6) \), Zalcman inequalities, the second and third Hankel determinants, the second-order Hankel determinant of logarithmic coefficients and the third Hankel determinant of inverse functions for the class \( \mathcal CL \). All of the bounds are sharp. - 1 January 2025
- Published by Wilmington Scientific Publisher, LLC in Journal of Applied Analysis & Computation
- Vol. 15 (2) , 958-972
THE SHARP BOUNDS OF HANKEL DETERMINANTS FOR THE FOUR-LEAF-TYPE BOUNDED TURNING FUNCTIONS
In the paper, a family of bounded turning functions involving a four-leaf-type domain is studied in the unit disk. The goal of the study is to explore the bounds of second and the third Hankel determinant for functions in the class. All of obtained bounds have been sharp.
- 1 January 2025
- Published by Wilmington Scientific Publisher, LLC in Journal of Applied Analysis & Computation
- Vol. 15 (2) , 958-972
THE SHARP BOUNDS OF HANKEL DETERMINANTS FOR THE FOUR-LEAF-TYPE BOUNDED TURNING FUNCTIONS
In the paper, a family of bounded turning functions involving a four-leaf-type domain is studied in the unit disk. The goal of the study is to explore the bounds of second and the third Hankel determinant for functions in the class. All of obtained bounds have been sharp.
- Open Access
- 16 June 2024
- Published by MDPI AG in Mathematics
- Vol. 12 (12) , 1875
Some Results on Coefficient Estimate Problems for Four-Leaf-Type Bounded Turning Functions
Let denote a subclass of bounded turning functions connected with a four-leaf-type domain. The goal of the study is to probe into the bounds of coefficients , the bounds of the logarithmic coefficients, and the third-order determinants for the functions in this class.- 16 June 2024
- Published by MDPI AG in Mathematics
- Vol. 12 (12) , 1875
Open AccessSome Results on Coefficient Estimate Problems for Four-Leaf-Type Bounded Turning Functions
Let denote a subclass of bounded turning functions connected with a four-leaf-type domain. The goal of the study is to probe into the bounds of coefficients , the bounds of the logarithmic coefficients, and the third-order determinants for the functions in this class. - Open Access
- 29 May 2024
- Published by Wiley in Journal of Mathematics
- Vol. 2024, 1-12
Hankel Determinants for the Logarithmic Coefficients of a Subclass of Close-to-Star Functions
Suppose that S T 1 is a class of close-to-star functions. In this paper, we investigated the estimate of Zalcman functional on the logarithmic coefficients and the third Hankel determinant for the class S T 1 with the determinant entry of logarithmic coefficients. Also, we obtained the sharp bounds of Zalcman functional J 2 , 4 f and J 3 , 3 f for the class S T 1 .
- 29 May 2024
- Published by Wiley in Journal of Mathematics
- Vol. 2024, 1-12
Open AccessHankel Determinants for the Logarithmic Coefficients of a Subclass of Close-to-Star Functions
Suppose that S T 1 is a class of close-to-star functions. In this paper, we investigated the estimate of Zalcman functional on the logarithmic coefficients and the third Hankel determinant for the class S T 1 with the determinant entry of logarithmic coefficients. Also, we obtained the sharp bounds of Zalcman functional J 2 , 4 f and J 3 , 3 f for the class S T 1 .
- Open Access
- 24 April 2024
- Published by MDPI AG in Preprints.org
Some Results on Coefficient Estimate Problems for Four-Leaf-Type Bounded Turning Functions
Let BT4l denotes a subclass of bounded turning functions connected with a four-leaf-type domain. The goal of the study is to probe into coefficients of |b6|, |b7|, |b8|, the bounds of the logarithmic coefficients and the third-order determinants of H3,1, H3,2, H3,3 for functions in this class.
- 24 April 2024
- Published by MDPI AG in Preprints.org
Open AccessSome Results on Coefficient Estimate Problems for Four-Leaf-Type Bounded Turning Functions
Let BT4l denotes a subclass of bounded turning functions connected with a four-leaf-type domain. The goal of the study is to probe into coefficients of |b6|, |b7|, |b8|, the bounds of the logarithmic coefficients and the third-order determinants of H3,1, H3,2, H3,3 for functions in this class.
- Open Access
- 1 January 2024
- Published by Walter de Gruyter GmbH in Applied Mathematics and Nonlinear Sciences
- Vol. 9 (1)
Toeplitz Determinant for the Inverse of a Function Whose Derivative Has a Positive Real Part
Let R denote the family of analytic and univalent functions f ( z ) in the unit disk Ω = { z ∈ C : | z | < 1} such that Re f ′( z ) > 0. We investigated the Toeplitz determinant for the inverse of the function to f ∈ R and gave the upper bound estimates of the determinants T 2 (2), T 2 (3), T 3 (1) and T 3 (2) .
- 1 January 2024
- Published by Walter de Gruyter GmbH in Applied Mathematics and Nonlinear Sciences
- Vol. 9 (1)
Open AccessToeplitz Determinant for the Inverse of a Function Whose Derivative Has a Positive Real Part
Let R denote the family of analytic and univalent functions f ( z ) in the unit disk Ω = { z ∈ C : | z | < 1} such that Re f ′( z ) > 0. We investigated the Toeplitz determinant for the inverse of the function to f ∈ R and gave the upper bound estimates of the determinants T 2 (2), T 2 (3), T 3 (1) and T 3 (2) .
- Open Access
Hankel Determinant for a Subclass of Starlike Functions with Respect to Symmetric Points Subordinate to the Exponential Function
Let denote the class of starlike functions with respect to symmetric points subordinate to the exponential function, i.e., the functions which satisfy in the unit disk the condition . We obtained the sharp estimate of the second-order Hankel determinants and improved the estimate of the third-order for this functions class .Open AccessHankel Determinant for a Subclass of Starlike Functions with Respect to Symmetric Points Subordinate to the Exponential Function
Let denote the class of starlike functions with respect to symmetric points subordinate to the exponential function, i.e., the functions which satisfy in the unit disk the condition . We obtained the sharp estimate of the second-order Hankel determinants and improved the estimate of the third-order for this functions class . - Open Access
Improved Upper Bounds of the Third-Order Hankel Determinant for Ozaki Close-to-Convex Functions
be the class of functions that convex in one direction and denote the class of functions , where . In the paper, the third-order Hankel determinants for these classes are estimated. The estimates of obtained in the paper are improved.Open AccessImproved Upper Bounds of the Third-Order Hankel Determinant for Ozaki Close-to-Convex Functions
be the class of functions that convex in one direction and denote the class of functions , where . In the paper, the third-order Hankel determinants for these classes are estimated. The estimates of obtained in the paper are improved.