Results 61 to 70 of about 958 (219)
Predicting Geomagnetic Activity Cycles
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
The conservative Camassa–Holm flow with step‐like irregular initial data
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
Properties of meromorphic solutions of $q$-difference equations
In this article, we utilize Nevanlinna value distribution theory to study the solvability and the growth of meromorphic function f(z) that satisfies some q-difference equations, which can be seen the q-difference analogues of Painleve I and II ...
Xiaoguang Qi, Lianzhong Yang
doaj
Some unity results on entire functions and their difference operators related to 4 CM theorem
This paper is to consider the unity results on entire functions sharing two values with their difference operators and to prove some results related to 4 CM theorem. The main result reads as follows: Let f ( z ) $f(z)$ be a nonconstant entire function of
BaoQin Chen, Sheng Li
doaj +1 more source
What Is the Lowest Latitude of Discrete Aurorae During Superstorms?
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
Analytic mappings of the unit disk which almost preserve hyperbolic area
Abstract In this paper, we study analytic self‐maps of the unit disk which distort hyperbolic areas of large hyperbolic disks by a bounded amount. We give a number of characterizations involving angular derivatives, Lipschitz extensions, Möbius distortion, the distribution of critical points and Aleksandrov–Clark measures.
Oleg Ivrii, Artur Nicolau
wiley +1 more source
NEVANLINNA THEORY FOR THE DIFFERENCE OPERATOR [PDF]
Certain estimates involving the derivative f 7! f 0 of a meromorphic function play key roles in the construction and applications of classical Nevanlinna theory. The purpose of this study is to extend the usual Nevanlinna theory to a theory for the exact
R.J. Korhonen (7160147) +5 more
core
Unbounded functions in the unit disk
A survey is made of results related to the value distribution of functions which are meromorphic or analytic in the unit disc and have unbounded growth according to some specific growth indicator.
L. R. Sons
doaj +1 more source
On the Nevanlinna′s Theory for Vector‐Valued Mappings
The purpose of this paper is to establish the first and second fundamental theorems for an E‐valued meromorphic mapping from a generic domain D ⊂ ℂ to an infinite dimensional complex Banach space E with a Schauder basis. It is a continuation of the work of C. Hu and Q. Hu.
Xuan, Zu-Xing, Wu, Nan
openaire +3 more sources
Preface to the special issue on “Old records for new knowledge”
Studying a changing world requires observations going back in time to extend and contextualize our latest scientific knowledge. Old legacy data exist in non‐digital formats. Thus, techniques and methodologies for the preservation, dissemination, interpretation, homogenization, calibration, and use of such legacy data and their associated metadata, as ...
Josep Batlló +3 more
wiley +1 more source

