Results 41 to 50 of about 958 (219)
Notes on meromorphic functions sharing small function and its derivatives
Arab Journal of Mathematical Sciences, 2015 In this paper we study the uniqueness theorems of meromorphic functions which share a small function with its derivatives, and give some results which are related to the results of P. Li.
Amer H.H. Al-Khaladi
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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
The subspace Nevanlinna interpolation problem and the most powerful unfalsified model [PDF]
, 1997 A generalization of the tangential Nevanlinna interpolation problem will be studied from a behavioral point of view. Necessary and sufficient conditions for its solvability and a characterization of art its solutions are derived.
Willems, JC +3 more
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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
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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
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Meromorphic Function of Fuzzy Complex Variables
Journal of New Theory, 2018 The fuzzy complex set is a fuzzy set whose values lies in the unit circle jzj · 1 in the complex plane. The Nevanlinna characteristic function playes an important role in the theory of entire and meromorphic function. In this paper we introduce
Arindam Jha
doaj
Karpatsʹkì Matematičnì Publìkacìï, 2021 The purpose of this paper is to obtain some sufficient conditions to determine the relation between a meromorphic function and an $L$-function when certain differential polynomial generated by them sharing a one degree polynomial. The main theorem of the
A. Banerjee, S. Bhattacharyya
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Predicting the Uniform Electron Gas Stopping Power at Moderate and Strong Coupling
Contributions to Plasma Physics, Volume 65, Issue 8-9, October 2025.ABSTRACT This paper presents a detailed study of the stopping power of a homogeneous electron gas in moderate and strong coupling regimes using the self‐consistent version of the method of moments as the key theoretical approach capable of expressing the dynamic characteristics of the system in terms of the static ones, which are the moments.
Saule A. Syzganbayeva +8 more
wiley +1 more source
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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A Toda Lattice in Dimension 2 and Nevanlinna Theory [PDF]
, 2007 It is shown how to study the 2-D Toda system for SU(n+1) using Nevanlinna theory of meromorphic functions and holomorphic curves.
Eremenko, A.
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