Cover Image

Reciprocal Polynomials with Zeros on the Unit Circle and Derivatives of Chebyshev Polynomials of the Second Kind

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Dmitrishin, Dmitriy, Gray, Daniel, Stokolos, Alexander
Format:	Preprint
Published:	2026
Subjects:	Complex Variables 30C10, 30C15, 33C45
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Analytic summation of series involving higher-order derivatives of Chebyshev polynomials of the second kind and their applications to convolved linear recurrent sequences
by: Dmitrishin, Dmitriy, et al.
Published: (2026)

Generalizations of Some Inequalities of the Polar Derivatives of Polynomials
by: Kumar, Deepak, et al.
Published: (2024)

Bounds for the Zeros of Quaternionic Polynomials and Regular Functions Using Matrix Techniques
by: Rather, N. A., et al.
Published: (2024)

On Average Modulus of Random Polynomials Over a Unit Circle and Disc
by: Sheikh, Sajad A., et al.
Published: (2026)

Generalization of Some Well-Known Polynomial Inequalities for the Modified Smirnov Operator
by: Kumar, Deepak, et al.
Published: (2025)

Zero Distribution of Polynomials Generated by a Power of a Cubic Polynomial
by: Steele, Travis, et al.
Published: (2025)

Intersections of Convex Hulls of Polynomial Shifts and Critical Points
by: Zhang, Teng
Published: (2026)

On the Third Hankel Determinant for Inverse Coefficients of Starlike Functions: A Bernstein Polynomial Approach
by: Allu, Vasudevarao, et al.
Published: (2026)

Chebyshev polynomials related to Jacobi weights
by: Christiansen, Jacob S., et al.
Published: (2024)

Bounds and asymptotic expansions for the radii of convexity and uniform convexity of normalized Bessel functions
by: Baricz, Árpád, et al.
Published: (2025)

Various Geometric Properties of a class related to Special Functions
by: Kumar, Ayush, et al.
Published: (2026)

Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle
by: Huertas, Edmundo J., et al.
Published: (2024)

Second Hankel Determinant for Logarithmic Inverse Coefficients of Convex and Starlike Functions
by: Allu, Vasudevarao, et al.
Published: (2023)

Optimal universal growth for integral means of normalized logarithmic derivatives in the Carathéodory class
by: He, Yixin, et al.
Published: (2026)

Inequalities Concerning Rational Functions With Prescribed Poles
by: Rather, N. A., et al.
Published: (2026)

Inequalities For The Growth Of Rational Functions With Prescribed Poles
by: Rather, N. A., et al.
Published: (2026)

Location of the zeros of quaternionic polynomials using matrix tools
by: Rather, N. A., et al.
Published: (2024)

Complex zeros of Bessel function derivatives and associated orthogonal polynomials
by: Chung, Seok-Young, et al.
Published: (2024)

Multidimensional analogues of the improved Bohr's inequality
by: Ahamed, Molla Basir, et al.
Published: (2025)

Some Compact Generalization of Bernstein-Type Inequalities Preserved by Modified Smirnov Operator
by: Kumar, Deepak, et al.
Published: (2025)

Hyperbolic curvature of holomorphic level curves
by: Iancu, Mihai, et al.
Published: (2025)

Inverse Logarithmic Coefficients, Differences, Hankel Determinant, and Fekete--Szegö Functionals for the Class $\mathcal{C}_e$
by: Das, Pradip, et al.
Published: (2026)

The Bohr's phenomenon for certain K-quasiconformal harmonic mappings
by: Allu, Vasudevarao, et al.
Published: (2024)

Chebyshev polynomials on equipotential curves
by: Miña-Díaz, Erwin, et al.
Published: (2025)

Sharp Estimates of Hankel Determinants for certain classes of convex univalent functions
by: Allu, Vasudevarao, et al.
Published: (2026)

The second and third Hankel determinants for starlike MA--Minda subclass associated to quadratic polynomials
by: Allu, Vasudevarao, et al.
Published: (2026)

A Jentzsch-Theorem for Kapteyn, Neumann, and General Dirichlet Series
by: Bornemann, Folkmar
Published: (2021)

Bohr inequality and Bohr-Rogosinski inequality for $K$-Quasiconformal harmonic mappings
by: Ahamed, Molla Basir, et al.
Published: (2025)

Bohr Phenomenon for $K$-quasiconformal Harmonic Mappings Involving One Parameter
by: Ahamed, Molla Basir, et al.
Published: (2025)

On Stable Univalence and Coefficient Estimates for a Class of Pluriharmonic Mappings in Convex Reinhardt Domains
by: Ahamed, Molla Basir, et al.
Published: (2026)

On Harmonic Univalent Functions Defined by Dziok-Srivastava Operator
by: Ameer, Mays S. Abdul, et al.
Published: (2026)

The second and third Hankel determinants for certain classes of functions
by: Allu, Vasudevarao, et al.
Published: (2026)

The second and third Hankel determinants for certain convex subclass of functions
by: Allu, Vasudevarao, et al.
Published: (2026)

A note on a subclass of bazilevič functions
by: Thakur, Lokenath
Published: (2026)

Pre-Schwarzian and Schwarzian norm estimates for certain classes of analytic and harmonic mappings
by: Allu, Vasudevarao, et al.
Published: (2026)

On the difference of the two initial logarithmic coefficients for Bazilevic class of univalent functions
by: Obradovic, M., et al.
Published: (2025)

Toeplitz and symmetric Toeplitz determinants for inverse functions of certain classes of univalent functions
by: Obradović, Milutin, et al.
Published: (2025)

On a certain subclass of strongly starlike functions
by: Kargar, R., et al.
Published: (2018)

On the difference of the moduli of the two initial logarithmic coefficients
by: Obradović, Milutin, et al.
Published: (2024)

On the Pre-Schwarzian Norm and Starlikeness of Certain Logharmonic Mappings
by: Pandit, Sushil
Published: (2025)