Complex Variables

Authors and titles for recent submissions

• Fri, 22 Nov 2024
• Thu, 21 Nov 2024
• Wed, 20 Nov 2024
• Tue, 19 Nov 2024
• Mon, 18 Nov 2024

See today's new changes

Fri, 22 Nov 2024 (showing 3 of 3 entries )

[1] arXiv:2411.14175 [pdf, html, other]

Title: Chebyshev polynomials in the complex plane and on the real line

Olof Rubin

Subjects: Complex Variables (math.CV); Classical Analysis and ODEs (math.CA)

[2] arXiv:2411.14203 (cross-list from math.DS) [pdf, html, other]

Title: Piecewise quasiconformal dynamical systems of the unit circle

Yusheng Luo, Dimitrios Ntalampekos

Comments: 38 pages, 9 figures

Subjects: Dynamical Systems (math.DS); Complex Variables (math.CV)

[3] arXiv:2411.14124 (cross-list from math.SP) [pdf, html, other]

Title: Quadrature domains packing

Bjorn Gustafsson, Mihai Putinar

Subjects: Spectral Theory (math.SP); Complex Variables (math.CV)

Thu, 21 Nov 2024 (showing 5 of 5 entries )

[4] arXiv:2411.13246 [pdf, html, other]

Title: Le tissu dual d'un pr\'e-feuilletage convexe r\'eduit sur $\mathbb{P}^{2}_{\mathbb{C}}$ est plat

Samir Bedrouni

Comments: 14 pages, in French language

Subjects: Complex Variables (math.CV); Dynamical Systems (math.DS)

[5] arXiv:2411.13102 [pdf, html, other]

Title: Improvements of certain results of the class $\mathcal{S}$ of univalent functions

Milutin Obradović, Nikola Tuneski

Subjects: Complex Variables (math.CV)

[6] arXiv:2411.12932 [pdf, html, other]

Title: On the Laplace transform

Alexander G. Ramm

Subjects: Complex Variables (math.CV)

[7] arXiv:2411.12861 [pdf, html, other]

Title: Indices and residues: from Poincar\'e-Hopf to Baum-Bott, and Marco Brunella

Maurício Corrêa, José Seade

Comments: 42 pages;In memory of Marco Brunella

Subjects: Complex Variables (math.CV); Algebraic Geometry (math.AG); Differential Geometry (math.DG)

[8] arXiv:2411.12856 (cross-list from math.DS) [pdf, html, other]

Title: Independence of multipliers in several variables complex dynamics

Igors Gorbovickis, Johan Taflin

Subjects: Dynamical Systems (math.DS); Complex Variables (math.CV)

Wed, 20 Nov 2024 (showing 5 of 5 entries )

[9] arXiv:2411.12378 [pdf, html, other]

Title: An improvement of the estimates of the modulus of the Hankel determinants of second and third order for the class $\mathcal{S}$ of univalent functions

Milutin Obradović, Nikola Tuneski

Subjects: Complex Variables (math.CV)

[10] arXiv:2411.11975 [pdf, html, other]

Title: Examples in Discrete Iteration of Arbitrary Intervals of Slopes

Manuel D. Contreras, Francisco J. Cruz-Zamorano, Luis Rodríguez-Piazza

Subjects: Complex Variables (math.CV); Dynamical Systems (math.DS)

[11] arXiv:2411.12337 (cross-list from math.AG) [pdf, other]

Title: Nevanlinna Second Main Theorem and tautological inequality for parabolic manifolds

Clara Derand (IECL, CRAN)

Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV)

[12] arXiv:2411.12171 (cross-list from math.DG) [pdf, html, other]

Title: Dimension estimate and existence of holomorphic sections with polynomial growth on gradient K\"ahler Ricci shrinkers

Fei He, Jianyu Ou

Subjects: Differential Geometry (math.DG); Complex Variables (math.CV)

[13] arXiv:2411.12012 (cross-list from math.DG) [pdf, html, other]

Title: Liouville theorems for harmonic metrics on gradient Ricci solitons

Chenghong He, Di Wu, Xi Zhang

Subjects: Differential Geometry (math.DG); Complex Variables (math.CV)

Tue, 19 Nov 2024 (showing 5 of 5 entries )

[14] arXiv:2411.11336 [pdf, html, other]

Title: Bernstein-type Inequalities Preserved by Modified Smirnov Operator

Ishfaq Ahmad Wani, Abdul Liman

Subjects: Complex Variables (math.CV)

[15] arXiv:2411.11246 [pdf, html, other]

Title: The Hausdorff distance and metrics on toric singularity types

Ayo Aitokhuehi, Benjamin Braiman, David Owen Horace Cutler, Tamás Darvas, Robert Deaton, Prakhar Gupta, Jude Horsley, Vasanth Pidaparthy, Jen Tang

Comments: v1. Results of an REU summer project

Subjects: Complex Variables (math.CV); Analysis of PDEs (math.AP)

[16] arXiv:2411.11198 [pdf, html, other]

Title: A notion of fractional slice monogenic functions with respect to a pair of real valued functions

José Oscar González.Cervantes, Juan Bory-Reyes

Subjects: Complex Variables (math.CV)

[17] arXiv:2411.10641 [pdf, html, other]

Title: On holomorphicity of Hartogs series satisfying algebraic relations

Hiroki Aoki, Kyoji Saito

Comments: 9 pages

Subjects: Complex Variables (math.CV)

[18] arXiv:2411.10834 (cross-list from math.CA) [pdf, other]

Title: Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle

Edmundo J. Huertas, Manuel Mañas

Comments: 48 pages

Subjects: Classical Analysis and ODEs (math.CA); Mathematical Physics (math-ph); Complex Variables (math.CV)

Mon, 18 Nov 2024 (showing 4 of 4 entries )

[19] arXiv:2411.10222 [pdf, html, other]

Title: Hyperbolic convexity of holomorphic level sets

Iason Efraimidis, Pavel Gumenyuk

Subjects: Complex Variables (math.CV)

[20] arXiv:2411.10190 [pdf, html, other]

Title: Interpolating quasiregular power mappings

Jack Burkart, Alastair N. Fletcher, Daniel A. Nicks

Subjects: Complex Variables (math.CV); Dynamical Systems (math.DS)

[21] arXiv:2411.10339 (cross-list from math.DS) [pdf, html, other]

Title: Some rigidity results for polynomial automorphisms of C^2

Serge Cantat, Romain Dujardin

Comments: Some new results compared to the initially released preprint version

Subjects: Dynamical Systems (math.DS); Complex Variables (math.CV)

[22] arXiv:2411.10288 (cross-list from math-ph) [pdf, html, other]

Title: On fluctuations of Coulomb systems and universality of the Heine distribution

Yacin Ameur, Joakim Cronvall

Comments: 37 pages

Subjects: Mathematical Physics (math-ph); Complex Variables (math.CV); Probability (math.PR)