Results 51 to 60 of about 7,023 (242)
Tropical Nevanlinna theory and second main theorem
, 2009 We present a version of the tropical Nevanlinna theory for real-valued, continuous, piecewise linear functions on the real line. In particular, a tropical version of the second main theorem is proved.
Laine, Ilpo, Tohge, Kazuya
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Singular Schroedinger operators as self-adjoint extensions of n-entire operators [PDF]
, 2015 We investigate the connections between Weyl-Titchmarsh-Kodaira theory for one-dimensional Schr\"odinger operators and the theory of $n$-entire operators.
Silva, Luis O. +2 more
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The q-Difference Theorems for Meromorphic Functions of Several Variables
Abstract and Applied Analysis, 2014 We investigate q-shift analogue of the lemma on logarithmic derivative of several variables. Let f be a meromorphic function in ℂn of zero order such that f(0)≠0, ∞, and let q∈ℂn\{0}.
Zhi-Tao Wen
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Interpolation and random interpolation in de Branges–Rovnyak spaces
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract The aim of this paper is to characterize universal and multiplier interpolating sequences for de Branges–Rovnyak spaces H(b)$\mathcal {H}(b)$ where the defining function b$b$ is a general non‐extreme rational function. Our results carry over to recently introduced higher order local Dirichlet spaces and thus generalize previously known results
Andreas Hartmann, Giuseppe Lamberti
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Value Distribution for a Class of Small Functions in the Unit Disk
International Journal of Mathematics and Mathematical Sciences, 2011 If 𝑓 is a meromorphic function in the complex plane, R. Nevanlinna noted that its characteristic function 𝑇(𝑟,𝑓) could be used to categorize 𝑓 according to its rate of growth as |𝑧|=𝑟→∞. Later H.
Paul A. Gunsul
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Two meromorphic functions on annuli sharing some pairs of small functions or values
AIMS Mathematics, 2021 In this paper, we prove that two admissible meromorphic functions on an annulus must be linked by a quasi-Möbius transformation if they share some pairs of small function with multiplicities truncated by 4.
Hongzhe Cao
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Cancer Reports, Volume 8, Issue 8, August 2025.ABSTRACT Background Biallelic FANCM variants are linked to a Fanconi anemia‐like cancer predisposition syndrome, which includes early onset breast cancer, chemotherapy toxicity, and chromosome fragility. Additionally, heterozygous truncating variants have been linked to increased breast cancer risk. However, the published results have been inconsistent,
Sonja Sulkava +4 more
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AIMS Mathematics, 2021 By utilizing the Nevanlinna theory of meromorphic functions in several complex variables, we will establish some theorems about the existence and the forms of entire solutions for several partial differential difference equations (systems) of Fermat type
Hong Yan Xu +3 more
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Nevanlinna-Pick Interpolation and Factorization of Linear Functionals
, 2011 If $\fA$ is a unital weak-$*$ closed algebra of multiplication operators on a reproducing kernel Hilbert space which has the property $\bA_1(1)$, then the cyclic invariant subspaces index a Nevanlinna-Pick family of kernels.
Davidson, Kenneth R., Hamilton, Ryan
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Transforming Room Acoustics with Causality‐Driven Dual‐Function Passive Metamaterials
Advanced Materials Technologies, Volume 10, Issue 11, June 5, 2025.This work presents an dual acoustic metamaterial for rooms that achieves excellent broadband performance for both sound absorption and sound diffusion. This is done by using causality formulations linking the absorption of the passive system to its volume, yielding an optimal surface area ratio required for excellent sound absorption and while ...
Eric Ballestero +5 more
wiley +1 more source