Results 61 to 70 of about 7,023 (242)

Extremal holomorphic maps and the symmetrised bidisc

open access: yes, 2012
We introduce the class of $n$-extremal holomorphic maps, a class that generalises both finite Blaschke products and complex geodesics, and apply the notion to the finite interpolation problem for analytic functions from the open unit disc into the ...
Agler, Jim   +2 more
core   +2 more sources

Predicting Geomagnetic Activity Cycles

open access: yesSpace Weather, Volume 23, Issue 5, May 2025.
Abstract The vast majority of solar cycle predictions focus on predicting the 11‐year sunspot cycle, while space weather and geomagnetic activity predictions are largely made for short time scales, from hours up to a month. Here, we aim to predict geomagnetic activity in the solar cycle time scale. We use a 180‐year composite of the geomagnetic aa $aa$
Timo Qvick   +2 more
wiley   +1 more source

Notes on meromorphic functions sharing small function and its derivatives

open access: yesArab Journal of Mathematical Sciences, 2015
In this paper we study the uniqueness theorems of meromorphic functions which share a small function with its derivatives, and give some results which are related to the results of P. Li.
Amer H.H. Al-Khaladi
doaj   +1 more source

Uniqueness of certain differential polynomial of $L$-functions and meromorphic functions sharing a polynomial

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
The purpose of this paper is to obtain some sufficient conditions to determine the relation between a meromorphic function and an $L$-function when certain differential polynomial generated by them sharing a one degree polynomial. The main theorem of the
A. Banerjee, S. Bhattacharyya
doaj   +1 more source

The conservative Camassa–Holm flow with step‐like irregular initial data

open access: yesProceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.
Abstract We extend the inverse spectral transform for the conservative Camassa–Holm flow on the line to a class of initial data that requires strong decay at one endpoint but only mild boundedness‐type conditions at the other endpoint. The latter condition appears to be close to optimal in a certain sense for the well‐posedness of the conservative ...
Jonathan Eckhardt, Aleksey Kostenko
wiley   +1 more source

Meromorphic Function of Fuzzy Complex Variables

open access: yesJournal of New Theory, 2018
The fuzzy complex set is a fuzzy set whose values lies in the unit circle jzj · 1 in the complex plane. The Nevanlinna characteristic function playes an important role in the theory of entire and meromorphic function. In this paper we introduce
Arindam Jha
doaj  

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

Uniqueness on linear difference polynomials of meromorphic functions

open access: yesAIMS Mathematics, 2021
Suppose that $f(z)$ is a meromorphic function with hyper order $\sigma_{2}(f)
Ran Ran Zhang   +2 more
doaj   +1 more source

Curves in Hilbert modular varieties

open access: yes, 2018
We prove a boundedness-theorem for families of abelian varieties with real multiplication. More generally, we study curves in Hilbert modular varieties from the point of view of the Green Griffiths-Lang conjecture claiming that entire curves in complex ...
Rousseau, Erwan, Touzet, Frédéric
core   +2 more sources

What Is the Lowest Latitude of Discrete Aurorae During Superstorms?

open access: yesSpace Weather, Volume 23, Issue 4, April 2025.
Abstract From a survey of published accounts of visual sightings of aurorae, a compilation is presented of the lowest identified geomagnetic latitude at which discrete aurorae were seen at local zenith during magnetic storms having intensities with maximum −Dst>200 ${-}Dst > 200$ nT. The compilation includes data for the superstorms of 2 September 1859,
Jeffrey J. Love   +3 more
wiley   +1 more source

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