Results 21 to 30 of about 958 (219)
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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Ax–Schanuel type theorems on functional transcendence via Nevanlinna theory [PDF]
, 2022 In this paper, we apply Nevanlinna theory to prove two Ax–Schanuel type theorems for functional transcendence when the original exponential map is replaced by other meromorphic functions. We give examples to show that these results are optimal.
HUANG, J, Ng, TW
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Nevanlinna functions in the theory of amplification [PDF]
, 2020 We know that the Nevanlinna (Herglotz) functions arise in physics in a fundamental way as an alternative representation of causality. We have discovered recently that they also relevant to the amplification phenomenon occurring in traveling wave tubes ...
Figotin, Alexander
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An Evertse–Ferretti Nevanlinna constant and its consequences [PDF]
, 2021 In this paper, we introduce the notion of an Evertse–Ferretti Nevanlinna constant and compare it with the birational Nevanlinna constant introduced by the authors in a recent joint paper. We then use it to recover several previously known results.
Ru, Min, Vojta, Paul
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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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Nevanlinna-type theory based on heat diffusion [PDF]
, 2022 We obtain an analogue of Nevanlinna theory of holomorphic mappings from a complete and stochastically complete K\"ahler manifold into a complex projective manifold.
Dong, Xianjing
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From Herglotz-Nevanlinna to Quasi-Herglotz [PDF]
, 2020 In this overview talk will deal with generalizations of Herglotz-Nevanlinna functions . We will start with some updates concerning functions in several variables and then consider generalizations (still in only one variable though) that are not any more ...
Luger, Annemarie
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Nevanlinna analytic continuation for Migdal–Eliashberg theory
Computational Materials TodayIn this work, we present a method to reconstruct real-frequency properties from analytically continued causal Green’s functions within the framework of Migdal–Eliashberg (ME) theory for superconductivity.
D.M. Khodachenko +4 more
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An Analogue of Continued Fractions in Number Theory for Nevanlinna Theory [PDF]
, 2004 We show an analogue of continued fractions in approximation to irrational numbers by rationals for Nevanlinna theory. The analogue is a sequence of points in the complex plane which approaches a given nite set of points and at a given rate in the sense ...
Ye, Zhuan
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The q-Difference Theorems for Meromorphic Functions of Several Variables
Abstract and Applied Analysis, 2014 We investigate q-shift analogue of the lemma on logarithmic derivative of several variables. Let f be a meromorphic function in ℂn of zero order such that f(0)≠0, ∞, and let q∈ℂn\{0}.
Zhi-Tao Wen
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