Hankel Determinants for the Logarithmic Coefficients of a Subclass of Close-to-Star Functions
Journal of MathematicsSuppose that ST1 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 ST1 with the determinant entry of logarithmic ...
Dong Guo +4 more
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Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice
Symmetry, Integrability and Geometry: Methods and Applications, 2013 The spectral transformation technique for symmetric RII polynomials is developed. Use of this technique reveals that the nonautonomous discrete modified KdV (nd-mKdV) lattice is directly connected with the RII chain.
Kazuki Maeda, Satoshi Tsujimoto
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Bounds for the second Hankel determinant of certain bi-univalent functions
, 2016 We investigate the second Hankel determinant inequalities for a certain class of analytic and bi-univalent functions.
ORHAN, Halit +2 more
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Third-Order Hankel and Toeplitz Determinants for Starlike Functions Connected with the Sine Function
Mathematics, 2019 Let S s * be the class of normalized functions f defined in the open unit disk D = { z : | z | < 1 } such that the quantity z f ′ ( z ) f ( z ) lies in an eight-shaped region in the right-half plane and satisfying
Hai-Yan Zhang +2 more
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An note on the maximization of matrix valued Hankel determinants with application [PDF]
In this note we consider the problem of maximizing the determinant of moment matrices of matrix measures. The maximizing matrix measure can be characterized explicitly by having equal (matrix valued) weights at the zeros of classical (one dimensional ...
Dette, Holger, Studden, W. J.
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Bounds for the Second Hankel Determinant and Its Inverse in Specific Function Classes
AxiomsThis paper presents a newly defined subclass of analytic functions and explores several significant properties within the class, which use for their definitions the q-analogues of the derivative and the subordinations. Thus, we tried to connect different
Trailokya Panigrahi +2 more
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AxiomsThe study of the Hankel determinant generated by the Maclaurin series of holomorphic functions belonging to particular classes of normalized univalent functions is one of the most significant problems in geometric function theory.
Muhammad Abbas +3 more
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On H3 (1) Hankel determinant for certain subclass of analytic functions
Extracta Mathematicae, 2020 The objective of this paper is to obtain an upper bound to Hankel determinant of third order for any function f, when it belongs to certain subclass of analytic functions, defined on the open unit disc in the complex plane.
D. Vamshee Krishna, D. Shalini
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Continued fraction expansions of Herglotz-Nevanlinna functions and generalized indefinite strings of Stieltjes type. [PDF]
Bull Lond Math Soc, 2022 Eckhardt J.
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Numerical Approach for the Frequency-Weighted Hankel-Norm Approximation [PDF]
, 2001 We derive new projection formulas for the model reduction method based on the frequency-weighted Hankel norm approximation (FWHNA). These formulas extend the applicability of the FWHNA method to frequency weights expressed as antistable right/left ...
Varga, Andras
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