New results on the existences of solutions of the Dirichlet problem with respect to the Schrödinger-prey operator and their applications [PDF]
Journal of Inequalities and Applications, 2017 In this paper, by using the Beurling-Nevanlinna type inequality we obtain new results on the existence of solutions of the Dirichlet problem with respect to the Schrödinger-prey operator.
Xu Chen, Lei Zhang
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Entire functions sharing a small function with their two difference operators [PDF]
Advances in Difference Equations, 2017 In this article, we deduce a uniqueness result of entire functions that share a small entire function with their two difference operators, generalizing some previous theorems of (Farissi et al. in Complex Anal. Oper.
Feng Lü, Yanfeng Wang, Junfeng Xu
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Nevanlinna Theory via Stochastic Calculus [PDF]
Journal of Functional Analysis, 1995 The author constructs a probabilistic version of Nevanlinna theory in general cases, improving the stochastic method by estimates of increasing processes for Brownian motions (Br.m.) and martingales (mart.) on manifolds. In Section 1 he establishes counterparts of the 1. and 2.
Atsuji, A.
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Nevanlinna Analytical Continuation of the Central Charge in 2D Conformal Field Theory [PDF]
Condensed MatterWe present an analytic continuation of the central charge c in two-dimensional conformal field theory (2D CFT), modeled as a Nevanlinna function—an analytic map from the upper half-plane to itself.
Bernardo Barbiellini
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Linear Fractional Transformations of Nevanlinna Functions Associated with a Nonnegative Operator [PDF]
, 2011 In the present paper a subclass of scalar Nevanlinna functions is studied, which coincides with the class of Weyl functions associated to a nonnegative symmetric operator of defect one in a Hilbert space.
Winkler, Henrik, +15 more
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Modular version of Nevanlinna theory [PDF]
, 2022 Fundamental Theorem of Algebra implies that every degree $d$ polynomial with complex coefficient takes value $a \in \mathbb{C}$ exactly $d$ times, counting multiplicity. One also knows the growth of polynomial is governed by its degree $d$.
曾鍵明, Tsang, Kin Ming
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Indefinite Hamiltonian systems whose Titchmarsh–Weyl coefficients have no finite generalized poles of non-positive type [PDF]
, 2013 The two-dimensional Hamiltonian system (*) y'(x)=zJH(x)y(x), x∈(a,b), where the Hamiltonian H takes non-negative 2x2-matrices as values, and $J:= \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}$, has attracted a lot of interest over the past decades ...
Harald Woracek +3 more
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On the differentiability of T(r,f)
International Journal of Mathematics and Mathematical Sciences, 1982 It is well known that T(r,f) is differentiable at least for r>r0. We show that, in fact, T(r,f) is differentiable for all but at most one value of r, and if T(r,f) fails to have a derivative for some value of r, then f is a constant times a quotient of ...
Douglas W. Townsed
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Some Properties of Meromorphic Solutions of Systems of Complex q-Shift Difference Equations
Abstract and Applied Analysis, 2013 In view of Nevanlinna theory, we study the properties of meromorphic solutions of systems of a class of complex difference equations. Some results obtained improve and extend the previous theorems given by Gao.
Hong-Yan Xu +2 more
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Uniqueness of L-Functions Concerning Certain Differential Polynomials
Discrete Dynamics in Nature and Society, 2018 Relying on Nevanlinna theory and the properties of L-functions in the extended Selberg class, we mainly study the uniqueness problems on L-functions concerning certain differential polynomials. This generalizes some results of Steuding, Li, Fang, and Liu-
Wen-Jie Hao, Jun-Fan Chen
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