Results 41 to 50 of about 17,142 (213)
American Journal of Medical Genetics Part A, Volume 200, Issue 3, Page 606-618, March 2026.ABSTRACT SHOX gene haploinsufficiency is associated with Léri‐Weill dyschondrosteosis (LWD) or idiopathic short stature (ISS) and could be caused by the structural and point mutations in the coding region and by the deletions in SHOX gene regulatory sequences. The role of the duplications in regulatory sequences is ambivalent.
Valeriia Kopytko +3 more
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Some inequalities for rational function with prescribed poles and restricted zeros
Demonstratio MathematicaIn this article, we first prove some auxiliary results in the form of lemmas using an improved Schwarz lemma at the boundary recently proved by Mercer. Furthermore, we establish some new inequalities for rational functions on the unit disk in the complex
Soraisam Robinson +2 more
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Generalized Carleson--Newman inner functions
, 2012 We study a class of inner functions introduced by Gorkin, Mortini, and Nikolski, and motivated by Banach algebras and functional calculus applications.
Borichev, Alexander
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Preimages under linear combinations of iterates of finite Blaschke products [PDF]
, 2023 Spyridon Kakaroumpas, Odí Soler Gibert
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Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 762-822, March 2026.Abstract We are interested in inequalities that bound the Riesz means of the eigenvalues of the Dirichlet and Neumann Laplacians in terms of their semiclassical counterpart. We show that the classical inequalities of Berezin–Li–Yau and Kröger, valid for Riesz exponents γ≥1$\gamma \ge 1$, extend to certain values γ<1$\gamma <1$, provided the underlying ...
Rupert L. Frank, Simon Larson
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Approximation by Interpolating Blaschke Products.
MATHEMATICA SCANDINAVICA, 1996 Suppose that \(H^\infty\) is the set of bounded analytic functions in the unit disk \(D\) and that \(T=\partial D\). A Blaschke product \(B(z)\) is a bounded analytic function of the form \[ B(z)= z^m \prod_{n=1}^\infty \frac{-\overline{z}_n} {|z_n|} \frac{z- z_n} {1-\overline{z}_n} \quad \text{where } \sum(1-|z_n|)< \infty,\;|B(e^{i\theta})|=1 \text ...
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Superstatistics of Blaschke products [PDF]
Dynamical Systems, 2015 12 pages, 1 figure.
Penrose, C, Beck, C
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Convergence properties of dynamic mode decomposition for analytic interval maps
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 179-206, February 2026.Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji +3 more
wiley +1 more source
Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
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Blaschke Products, Level Sets, and Crouzeix’s Conjecture [PDF]
, 2023 Kelly Bickel, Pamela Gorkin
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