Results 61 to 70 of about 6,490,162 (222)
Weighted sharing of meromorphic functions concerning certain type of linear difference polynomials
Ratio Mathematica, 2023 In this research article, with the help of Nevanlinna theory we study the uniqueness problems of transcendental meromorphic functions having finite order in the complex plane $\mathbb{C}$, of the form is given by $\phi^{n}(z)\sum_{j=1}^{d}a_{j}\phi(z+c_ ...
Megha M. Manakame, Harina P Waghamore
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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
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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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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
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Nevanlinna Theory via Stochastic Calculus
Journal of Functional Analysis, 1995 The author constructs a probabilistic version of Nevanlinna theory in general cases, improving the stochastic method by estimates of increasing processes for Brownian motions (Br.m.) and martingales (mart.) on manifolds. In Section 1 he establishes counterparts of the 1. and 2.
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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
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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
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Tropical Nevanlinna Theory and Ultradiscrete Equations
International Mathematics Research Notices, 2008 A tropical version of Nevanlinna theory is described in which the role of meromorphic functions is played by continuous piecewise linear functions of a real variable whose one-sided derivatives are integers at every point. These functions are naturally defined on the max-plus (or tropical) semi-ring.
Halburd, R. G., Southall, N. J.
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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
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A case of mu-synthesis as a quadratic semidefinite program
, 2013 We analyse a special case of the robust stabilization problem under structured uncertainty. We obtain a new criterion for the solvability of the spectral Nevanlinna-Pick problem, which is a special case of the $\mu$-synthesis problem of $H^\infty ...
Agler, Jim, Lykova, Z. A., Young, N. J.
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