Results 21 to 30 of about 5,364,433 (202)

Entire solutions for several general quadratic trinomial differential difference equations

open access: yesOpen 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
doaj   +1 more source

Nevanlinna analytic continuation for Migdal–Eliashberg theory

open access: yesComputational Materials Today
In 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
doaj   +1 more source

The q-Difference Theorems for Meromorphic Functions of Several Variables

open access: yesAbstract 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
doaj   +1 more source

Nevanlinna functions in the theory of amplification

open access: yes, 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
core   +1 more source

Value Distribution for a Class of Small Functions in the Unit Disk

open access: yesInternational 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
doaj   +1 more source

Entire solutions for several second-order partial differential-difference equations of Fermat type with two complex variables

open access: yesAdvances in Difference Equations, 2021
This paper is concerned with description of the existence and the forms of entire solutions of several second-order partial differential-difference equations with more general forms of Fermat type.
Hong Yan Xu   +3 more
doaj   +1 more source

Predicting Geomagnetic Activity in the Ascending and Declining Phases of the Solar Cycle

open access: yesSpace Weather, Volume 24, Issue 8, August 2026.
Abstract Most predictions of space climate, that is, the long‐term behavior of the solar‐terrestrial environment, have focused on forecasting the 11‐year sunspot cycle. Geomagnetic activity, on the other hand, has mainly been predicted in shorter, space weather timescales of up to days to weeks.
Timo Qvick   +2 more
wiley   +1 more source

Neovius-Nevanlinna – erään suvun kronikka

open access: yes, 2022
Varhaisimmat Neovius-Nevanlinna -suvun jäsenet olivat maanviljelijöitä Hämeen Rengossa 1600-luvulla. Eräät heistä lähtivät Turun Katedraalikouluun pappisoppiin isovihan jälkeen 1700-luvulla.
Nevanlinna, Heikki
core  

Oppenheim–Schur inequalities for causal products

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We establish a class of Oppenheim–Schur‐type inequalities for the convolutional Jury product of positive semidefinite matrices. These results extend the classical Schur and Oppenheim inequalities associated with the Hadamard product to a causal convolutional setting.
Dominique Guillot   +2 more
wiley   +1 more source

Modular version of Nevanlinna theory

open access: yes, 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
core  

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