Results 31 to 40 of about 3,642 (160)
Nevanlinna characteristics of sequences of meromorphic functions and Julia’s exceptional functions
Matematychni Studii, 2011 Uniformly convergent sequences of meromorphic functions in the Caratheodory-Landau sense on annuli are considered. We prove that the sequences of their Nevanlinna type characteristics converge uniformly on intervals. The result is applied to the study of the Nevanlinna characteristics of Julia's exceptional functions.
A. Ya. Khrystiyanyn +2 more
openaire +2 more sources
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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Reconstructing Historical Solar Indices for Predicting Past Space Weather Events
Space Weather, Volume 24, Issue 4, April 2026.Abstract Modeling and forecasting the near‐Earth space environment, specifically the thermosphere, is particularly important because it affects the motion of low‐Earth orbit objects through atmospheric drag. Solar indices such as F10.7, S10.7, M10.7, and Y10.7 are commonly used as inputs to ionospheric and thermospheric density models.
Poshan Belbase +4 more
wiley +1 more source
On a Method of Introducing Free-Infinitely Divisible Probability Measures
Demonstratio Mathematica, 2016 Random integral mappings give isomorphism between the subsemigroups of the classical (I D, *) and the free-infinite divisible (I D, ⊞) probability measures.
Jurek Zbigniew J.
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GCD inequalities arising from codimension‐2 blowups
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract Assuming a deep Diophantine geometry conjecture by Vojta, Silverman proved an inequality giving an upper bound for the greatest common divisor (GCD). In this paper, we unconditionally prove a weaker version of this inequality. The main ingredient is the Ru–Vojta theory, which provides an efficient method of using Schmidt subspace theorem.
Yu Yasufuku
wiley +1 more source
On the Nevanlinna characteristic of \(f(qz)\) and its applications
Journal of Mathematical Analysis and Applications, 2010 The authors investigate the relation between the Nevanlinna characteristic functions \(T\big(r,f(qz)\big)\) and \(T\big(r,f(z)\big)\) for a zero-order meromorphic function \(f\) and a non-zero constant \(q\). It is shown that \(T\big(r,f(qz)\big)=\big(1+o(1)\big)T\big(r,f(z)\big)\) for all \(r\) in a set of lower logarithmic density 1. This estimate is
Zhang, Jilong, Korhonen, Risto
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Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols
Journal of Mathematics, Volume 2026, Issue 1, 2026.A major open problem in the theory of Toeplitz operators on the analytic Bergman space over the unit disk is the characterization of the commutant of a given Toeplitz operator, that is, the set of all bounded Toeplitz operators that commute with it. In this paper, we provide a complete description of bounded Toeplitz operators Tf, where the symbol f ...
Aissa Bouhali +3 more
wiley +1 more source
Abstract and Applied Analysis, 2011 In the case of the complex plane, it is known that there exists a finite set of rational numbers containing all possible growth orders of solutions of f(k)+ak-1(z)f(k-1)+⋯+a1(z)f′+a0(z)f=0 with polynomial coefficients.
Martin Chuaqui +3 more
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Representing maps for semibounded forms and their Lebesgue‐type decompositions
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract In the Lebesgue decomposition of a lower semibounded sesquilinear form, the corresponding regular and singular parts are mutually singular. The more general Lebesgue‐type decompositions studied here allow components that need not be mutually singular anymore.
S. Hassi, H. S. V. de Snoo
wiley +1 more source
Some new observations on interpolation in the spectral unit ball
, 2007 We present several results associated to a holomorphic-interpolation problem for the spectral unit ball \Omega_n, n\geq 2. We begin by showing that a known necessary condition for the existence of a $\mathcal{O}(D;\Omega_n)$-interpolant (D here being the
Bharali, Gautam
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