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Sharp Bounds of the Hermitian Toeplitz Determinants for Certain Close-to-Star Functions
The sharp lower and upper bounds of the Hermitian Toeplitz determinants of the second and third order for certain close-to-star functions are...
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Apocryphal Classes
In this chapter one surveys a few exceptional situations not fitting the known classes. There is an effort to collect some of these examples into...
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Coefficient Problems for Certain Close-to-Convex Functions
In this paper, bounds are established for the second Hankel determinant of logarithmic coefficients for normalised analytic functions satisfying...
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A Study of Sharp Coefficient Bounds for a New Subfamily of Starlike Functions
The main contribution of this article includes derivations of sharp inequalities involving the Taylor-Maclaurin coefficients for functions belonging...
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On a Class of Elliptic Orthogonal Polynomials and their Integrability
Building upon the recent works of Bertola; Fasondini, Olver and Xu, we define a class of orthogonal polynomials on elliptic curves and establish a...
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Matrix orthogonal polynomials, non-abelian Toda lattices, and Bäcklund transformations
A connection between matrix orthogonal polynomials and non-abelian integrable lattices is investigated in this paper. The normalization factors of...
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Hermitian-Toeplitz Determinants for Certain Classes of Close-to-Convex Functions
The class of close-to-convex functions are univalent and so its subclasses. For normalised analytic functions defined on the unit disk, four...
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Inverse logarithmic coefficient bounds for starlike functions subordinated to the exponential functions
In recent years, many subclasses of univalent functions, directly or not directly related to the exponential functions, have been introduced and...
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On a construction method of new moment sequences
In this paper we provide a way to construct new moment sequences from a given moment sequence. An operator based on multivariate positive polynomials...
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Sharp Bounds of the Hermitian Toeplitz Determinants for Some Classes of Close-to-Convex Functions
Sharp upper and lower bounds of the Hermitian Toeplitz determinants of the second and third orders are found for various subclasses of...
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Totally positive kernels, Pólya frequency functions, and their transforms
The composition operators preserving total non-negativity and total positivity for various classes of kernels are classified, following three themes....
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On Infinite-Dimensional Integer Hankel Matrices
AbstractWe construct a parametric family of infinite-dimensional integer Hankel matrices, each having the following property: its principal...
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On the Generalized k-Horadam-Like Sequences
In this chapter, we have introduced generalized k-Horadam-like sequences of third order. Many known integer sequences of second and third order will...
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Zero-free regions near a line
We analyze metrics for how close an entire function of genus one is to having only real roots. These metrics arise from truncated Hankel matrix...
