Results 51 to 60 of about 5,364,433 (202)
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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Properties of meromorphic solutions of $q$-difference equations
Electronic Journal of Differential Equations, 2015 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
Unbounded functions in the unit disk
International Journal of Mathematics and Mathematical Sciences, 1983 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
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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
From Herglotz-Nevanlinna to Quasi-Herglotz
, 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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Some unity results on entire functions and their difference operators related to 4 CM theorem
Journal of Inequalities and Applications, 2020 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
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The Error Term in Nevanlinna Theory
Duke Mathematical Journal, 1988 In the 60th, the author conjectured that the Roth's theorem could be improved of an inequality of some type of order \(1+\epsilon\) of log q. He deals here with the Stoll-Carlson-Griffiths theorem in higher dimensions and discusses the error term.
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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
On the Nevanlinna′s Theory for Vector‐Valued Mappings
Abstract and Applied Analysis, 2010 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
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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