Oscillating Wandering Domains for Functions with Escaping Singular Values [PDF]
, 2019 We construct a transcendental entire $f:\mathbb{C}\rightarrow\mathbb{C}$ such that (1) $f$ has bounded singular set, (2) $f$ has a wandering domain, and (3) each singular value of $f$ escapes to infinity under iteration by $f$.
arxiv +1 more source
Correlation analysis of serum IGF-1 and IL-6 and urinary albumin/creatinine ratio in patients with type 2 diabetic kidney disease. [PDF]
Front Endocrinol (Lausanne), 2022 Liu GW, Zeng JE, Li LF.
europepmc +1 more source
Towards an Effectivisation of the Riemann Theorem [PDF]
arXiv, 2003 The Riemann Theorem states, that for any nontrivial connected and simply connected domain on the Riemann sphere there exists some its conformal bijection to the exterior of the unit disk. In this paper we find an explicit form of this map for a broad class of domains with analytic boundaries.
arxiv
Zeros of differential polynomials in real meromorphic functions [PDF]
Proc. Edinburgh Math. Soc. (2005) 48 1-15, 2004 We show that for a real transcendental meromorphic function f, the differential polynomial f'+f^m with m > 4 has infinitely many non-real zeros. Similar results are obtained for differential polynomials f'f^m-1. We specially investigate the case of meromorphic functions with finitely many poles. We show by examples the precision of our results.
arxiv
Zero (sub)sets for spaces of holomorphic functions and (sub)harmonic minorants [PDF]
arXiv, 2004 We obtain various general conditions in terms of the balayage and Green's functions under which the sequence of points is the zero set for weighted spaces of holomorphic functions in a domain on the complex plane.
arxiv
Whole exome sequencing in unexplained recurrent miscarriage families identified novel pathogenic genetic causes of euploid miscarriage. [PDF]
Hum Reprod, 2023 Wang X +8 more
europepmc +1 more source
Orthogonal polynomials with exponentially decaying recursion coefficients [PDF]
arXiv, 2006 We review recent results on necessary and sufficient conditions for measures on $\mathbb{R}$ and $\partial\mathbb{D}$ to yield exponential decay of the recursion coefficients of the corresponding orthogonal polynomials. We include results on the relation of detailed asymptotics of the recursion coefficients to detailed analyticity of the measures.
arxiv
Understanding heterogeneity among individuals who smoke cigarettes and vape: assessment of biomarkers of exposure and potential harm among subpopulations from the PATH Wave 1 Data. [PDF]
Harm Reduct J, 2022 Lizhnyak PN +6 more
europepmc +1 more source
Normal holomorphic curves from parabolic regions to projective spaces [PDF]
arXiv, 2007 A holomorphic map from the complex line to a complex projective space is called normal (a. k. a. Brody curve) if it is uniformly continuous from the Euclidean metric to the Fubini--Study metric. The paper contains a survey of known results about such maps, as well as some new theorems.
arxiv
Meromorphic functions of one complex variable. A survey [PDF]
arXiv, 2008 This is an appendix to the English translation of the book by A. A. Goldberg and I. V. Ostrovskii, Distribution of values of meromorphic functions, Moscow, Nauka, 1970. An English translation of this book is to be published soon by the AMS. In this appendix we survey the results obtained on the topics of the book after 1970.
arxiv