Complex Variables

Authors and titles for math.CV in Jan 2024

[1]  arXiv:2401.00235 [pdf, ps, other]

Title: Analytic capacities in Besov spaces

Authors: Anton Baranov, Michael Hartz, Ilgiz Kayumov, Rachid Zarouf

Comments: 21 pages

Subjects: Complex Variables (math.CV)

[2]  arXiv:2401.00620 [pdf, ps, other]

Title: A Borel-Pompeiu formula in a $(q,q')$-model of quaternionic analysis

Authors: José Oscar González-Cervantes, Juan Bory-Reyes, Irene Sabadini

Subjects: Complex Variables (math.CV)

[3]  arXiv:2401.00745 [pdf, ps, other]

Title: Radon-type transforms for holomorphic and Hermitian monogenic functions

Authors: Ren Hu, Pan Lian

Comments: All comments welcome!

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

[4]  arXiv:2401.01109 [pdf, ps, other]

Title: The impact of the limit $q$-Durrmeyer operator on continuous functions

Authors: Övgü Gürel Yılmaz, Sofiya Ostrovska, Mehmet Turan

Subjects: Complex Variables (math.CV)

[5]  arXiv:2401.01170 [pdf, ps, other]

Title: Asymptotic characterizations of strong pseudoconvexity on pseudoconvex domains of finite type in $\mathbb{C}^2$

Authors: Jinsong Liu, Xingsi Pu, Lang Wang

Subjects: Complex Variables (math.CV)

[6]  arXiv:2401.01555 [pdf, ps, other]

Title: The jet transcendence degree of a real hypersurface and Huang-Ji-Yau Conjecture

Authors: Jan Gregorovic, Ilya Kossovskiy

Subjects: Complex Variables (math.CV)

[7]  arXiv:2401.01907 [pdf, ps, other]

Title: On a version of the Problem B of Mahler involving derivatives

Authors: Diego Alves

Journal-ref: Communications in Mathematics, Volume 32 (2024), Issue 1 (April 3, 2024) cm:12784

Subjects: Complex Variables (math.CV); Number Theory (math.NT)

[8]  arXiv:2401.01910 [pdf, ps, other]

Title: On the Zeros of Certain Entire Functions

Authors: Ruiming Zhang

Comments: 10 pages

Subjects: Complex Variables (math.CV)

[9]  arXiv:2401.02367 [pdf, ps, other]

Title: Invariance of Abel universality under composition and applications

Authors: Stéphane Charpentier, Myrto Manolaki, Konstantinos Maronikolakis

Subjects: Complex Variables (math.CV)

[10]  arXiv:2401.03342 [pdf, ps, other]

Title: The Hartogs extension phenomenon and open embeddings, proper maps, compactifications, cohomologies

Authors: S. Feklistov

Subjects: Complex Variables (math.CV)

[11]  arXiv:2401.03440 [pdf, ps, other]

Title: Degenerate complex Monge-Ampère equations on some compact Hermitian manifolds

Authors: Mohammed Salouf

Comments: Minor changes, reference added

Subjects: Complex Variables (math.CV)

[12]  arXiv:2401.03606 [pdf, ps, other]

Title: Automorphic Carathéodory-Julia Theorem

Authors: Alexander Kheifets

Subjects: Complex Variables (math.CV)

[13]  arXiv:2401.03614 [pdf, ps, other]

Title: Holomorphic Motion, rational approximation and a weird formulation of the Riemann Hypothesis

Authors: P. M. Gauthier, Jujie Wu

Comments: Comments are welcome

Subjects: Complex Variables (math.CV)

[14]  arXiv:2401.03941 [pdf, ps, other]

Title: Berezin transforms on modified Bergman spaces

Authors: Noureddine Ghiloufi, Safa Snoun

Comments: 13 pages

Subjects: Complex Variables (math.CV)

[15]  arXiv:2401.04401 [pdf, ps, other]

Title: Path-slice star-product on non-axially symmetric domains in several quaternionic variables

Authors: Xinyuan Dou, Ming Jin, Guangbin Ren, Ting Yang

Comments: 15 pages

Subjects: Complex Variables (math.CV)

[16]  arXiv:2401.04895 [pdf, ps, other]

Title: Algebra of slice regular functions on non-symmetric domains in several quaternionic variables

Authors: Xinyuan Dou, Ming Jin, Guangbin Ren, Ting Yang

Comments: 12 pages

Subjects: Complex Variables (math.CV)

[17]  arXiv:2401.04899 [pdf, ps, other]

Title: Zeroes of weakly slice regular functions of several quaternionic variables on non-axially symmetric domains

Authors: Xinyuan Dou, Ming Jin, Guangbin Ren, Ting Yang

Comments: 18 pages

Subjects: Complex Variables (math.CV)

[18]  arXiv:2401.05082 [pdf, ps, other]

Title: A new characterization of domains of holomorphy with $L^2$-optimal conditions

Authors: Zhuo Liu, Xujun Zhang

Comments: Comments are welcome

Subjects: Complex Variables (math.CV)

[19]  arXiv:2401.05096 [pdf, ps, other]

Title: Geometric estimates and comparability of Eisenman volume elements with the Bergman kernel on (C-)convex domains

Authors: Debaprasanna Kar

Comments: 12 pages, Geometric estimates for the volume elements are added in this version

Subjects: Complex Variables (math.CV)

[20]  arXiv:2401.06364 [pdf, ps, other]

Title: Proper maps of ball complements & differences and rational sphere maps

Authors: Abdullah Al Helal, Jiří Lebl, Achinta Kumar Nandi

Comments: 21 pages, Theorem 1.1 is corrected, extraneous examples of Section 5 are removed

Subjects: Complex Variables (math.CV)

[21]  arXiv:2401.06956 [pdf, ps, other]

Title: A note on Rational Functions with three branched points on the Riemann sphere

Authors: Zhiqiang Wei, Yingyi Wu, Bin Xu

Comments: 8 pages. Comments are welcome

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

[22]  arXiv:2401.07195 [pdf, ps, other]

Title: On the Gauss maps of complete minimal surfaces in $\mathbb{R}^n$

Authors: Dinh Tuan Huynh

Comments: 13 pages, comments are welcome. arXiv admin note: text overlap with arXiv:2012.12656, arXiv:1704.03358

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

[23]  arXiv:2401.07214 [pdf, ps, other]

Title: Ordinality and Riemann Hypothesis II

Authors: Young Deuk Kim

Comments: The final page of Section 4 is rewritten for the sake of simplicity

Subjects: Complex Variables (math.CV); Number Theory (math.NT)

[24]  arXiv:2401.07688 [pdf, ps, other]

Title: Fuzzy Set with Hyperbolic Valued Membership Function

Authors: Chinmay Ghosh, Sanjib Kumar Datta, Soumen Mondal

Subjects: Complex Variables (math.CV)

[25]  arXiv:2401.08243 [pdf, ps, other]

Title: Random Systems of Holomorphic Sections of a Sequence of Line bundles on Compact Kähler Manifolds

Authors: Afrim Bojnik, Ozan Günyüz

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