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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Entire solutions for several general quadratic trinomial differential difference equations
Open Mathematics, 2021 This paper is devoted to exploring the existence and the forms of entire solutions of several quadratic trinomial differential difference equations with more general forms.
Luo Jun, Xu Hong Yan, Hu Fen
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Robust Controller Design Using the Nevanlinna-Pick Interpolation in Gyro Stabilized Pod
Discrete Dynamics in Nature and Society, 2010 The sensitivity minimization of feedback system is solved based on the theory of Nevanlinna-Pick interpolation with degree constraint without using weighting functions. More details of the dynamic characteristic of second-order system investigated, which
Bin Liu +3 more
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A power of a meromorphic function sharing a set with its higher order derivative
Acta Universitatis Sapientiae: Mathematica, 2022 In this paper, we deduce the form of a nonconstant meromorphic function f when some power of f shares certain set counting multiplicities in the weak sense with the k-th derivative of the power.
Karmakar Himadri, Sahoo Pulak
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Genericity of a result in Nevanlinna Theory [PDF]
arXiv, 2021 We show that the derivative f' of the generic function f in the disk algebra lies outside of the localized Nevanlinna class for every arc in the unit circle.
arxiv
From asymptotics to spectral measures: determinate versus indeterminate moment problems [PDF]
, 2005 In the field of orthogonal polynomials theory, the classical Markov theorem shows that for determinate moment problems the spectral measure is under control of the polynomials asymptotics.
Valent, Galliano
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Nevanlinna class, Dirichlet series and Szegö's problem [PDF]
arXiv, 2022 This paper is associated with Nevanlinna class, Dirichlet series and Szeg\"o's problem in infinitely many variables. As we will see, there is a natural connection between these topics. The paper first introduces the Nevanlinna class and the Smirnov class in this context, and generalizes the classical theory in finitely many variables to the infinite ...
arxiv
Uniqueness on linear difference polynomials of meromorphic functions
AIMS Mathematics, 2021 Suppose that $f(z)$ is a meromorphic function with hyper order $\sigma_{2}(f)
Ran Ran Zhang +2 more
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On applications of Herglotz-Nevanlinna functions in material sciences, II: extended applications and generalized theory [PDF]
arXiv, 2022 Part II of the review article focuses on the applications of Herglotz-Nevanlinna functions in material sciences. It presents a diverse set of applications with details and the role of Herglotz-Nevanlinna functions clearly pointed out. This paper is concluded by a collection of existent generalizations of the class of Herglotz-Nevanlinna functions that ...
arxiv
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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