Results 61 to 70 of about 6,503,100 (217)
AIMS Mathematics, 2021 By utilizing the Nevanlinna theory of meromorphic functions in several complex variables, we will establish some theorems about the existence and the forms of entire solutions for several partial differential difference equations (systems) of Fermat type
Hong Yan Xu +3 more
doaj +1 more source
Predicting Geomagnetic Activity Cycles
Space 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
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
doaj +1 more source
Nevanlinna-Pick Interpolation and Factorization of Linear Functionals
, 2011 If $\fA$ is a unital weak-$*$ closed algebra of multiplication operators on a reproducing kernel Hilbert space which has the property $\bA_1(1)$, then the cyclic invariant subspaces index a Nevanlinna-Pick family of kernels.
Davidson, Kenneth R., Hamilton, Ryan
core +1 more source
The conservative Camassa–Holm flow with step‐like irregular initial data
Proceedings 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
What Is the Lowest Latitude of Discrete Aurorae During Superstorms?
Space 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
Notes on meromorphic functions sharing small function and its derivatives
Arab 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
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On applications of Herglotz-Nevanlinna functions in material sciences, I: classical theory and applications of sum rules [PDF]
arXiv, 2022 This is the first part of the review article which focuses on theory and applications of Herglotz-Nevanlinna functions in material sciences. It starts with the definition of scalar valued Herglotz-Nevanlinna functions and explains in detail the theorems that are pertinent to applications, followed by a short overview of the matrix-valued and operator ...
arxiv
Jacobi matrices generated by ratios of hypergeometric functions
, 2017 A problem of determining zeroes of the Gauss hypergeometric function goes back to Klein, Hurwitz, and Van Vleck. In this very short note we show how ratios of hypergeometric functions arise as m-functions of Jacobi matrices and we then revisit the ...
Derevyagin, Maxim
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Analytic mappings of the unit disk which almost preserve hyperbolic area
Proceedings of the London Mathematical Society, Volume 129, Issue 5, November 2024.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