Results 31 to 40 of about 9,438,737 (154)
Subharmonic functions and electric fields in ball layers. II [PDF]
Математичні Студії, 2011 In this sequel to cite{GK} we study a special case $BL(frac{1}{r},r)$, $r>1$. Alsothe explicit representation of a subharmonic extension for a subharmonic function $u(x)$ near a removable point is obtained.
O. P. Gnatiuk, A. A. Kondratyuk
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Characteristic properties of the Nevanlinna class N and the Hardy classes H^p and H_h^p
Annales Academiae Scientiarum Fennicae Series A I Mathematica, 1990 Ž. Pavićević
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Nevanlinna characteristics and defective values of the Weierstrass zeta function
Ukrainian Mathematical Journal, 2011 The authors study the value distribution of the Weierstrass zeta function \(\zeta\), proving the following growth estimates: \[ \begin{aligned} N(r,\zeta) & = \frac{\pi r^2}{2D} + O(r),\\ m(r,\zeta) & = O(\ln r),\\ T(r,\zeta)& = \frac{\pi r^2}{2D} + O(r)\end{aligned} \] when \(r\to\infty\), where \(D\) denotes the area of the primitive period ...
Korenkov, M. E. +2 more
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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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New Integral Inequalities for the Nevanlinna Characteristics of Meromorphic Functions
Journal of Mathematics Research, 2015 In this paper, we introduce generalization of the Nevanlinna characteristics and give a short survey of classical and recent results on the representation of a meromorphic function in terms such characteristics. And then we characterize the counting functions N(r,f), N(r,a), and the characteristics functions T(r,f), T(r,a) defined on a non-constant ...
Md Mainul Islam, A. N. M. Rezaul Karim
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Studies of Differences from the point of view of Nevanlinna Theory [PDF]
Transactions of the American Mathematical Society, 2018 This paper consists of three parts. First, we give so far the best condition under which the shift invariance of the counting function, and of the characteristic of a subharmonic function, holds. Second, a difference analogue of logarithmic derivative of
Jian-Hua Zheng, R. Korhonen
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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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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
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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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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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