Results 61 to 70 of about 5,990,008 (247)

Shift invariant subspaces in growth spaces and sets of finite entropy

open access: yesJournal of the London Mathematical Society, Volume 109, Issue 5, May 2024.
Abstract We investigate shift invariant subspaces within the realm of analytic functions in the unit disc, whose radial growth is determined by a majorant w$w$. Our main result offers a complete characterization of the shift invariant subspaces generated by Nevanlinna class functions within the aforementioned class of growth spaces.
Adem Limani
wiley   +1 more source

Tropical Nevanlinna Theory and Ultradiscrete Equations

open access: yesInternational 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.
openaire   +2 more sources

Nevanlinna’s Five Values Theorem on Annuli

open access: yesMathematics, 2016
By using the second main theorem of the meromorphic function on annuli, we investigate the problem on two meromorphic functions partially sharing five or more values and obtain some theorems that improve and generalize the previous results given by Cao ...
Hong-Yan Xu, Hua Wang
doaj   +1 more source

Transient Offset in 14C After the Carrington Event Recorded by Polar Tree Rings

open access: yesGeophysical Research Letters, Volume 51, Issue 5, 16 March 2024.
Abstract The Carrington event of 1859 has been the strongest solar flare in the observational history. It plays a crucial role in shedding light on the frequency and impacts of the past and future Solar Energetic Particle (SEP) events on human societies. We address the impact of the Carrington event by measuring tree‐ring 14C with multiple replications
Joonas Uusitalo   +16 more
wiley   +1 more source

Properties of meromorphic solutions of $q$-difference equations

open access: yesElectronic 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

open access: yesInternational 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
doaj   +1 more source

Nevanlinna Analytical Continuation of the Central Charge in 2D Conformal Field Theory

open access: yesCondensed Matter
We present an analytic continuation of the central charge c in two-dimensional conformal field theory (2D CFT), modeled as a Nevanlinna function—an analytic map from the upper half-plane to itself.
Bernardo Barbiellini
doaj   +1 more source

The Nevanlinna matrix of the truncated Hausdorff matrix moment problem via orthogonal matrix polynomials on [a,b] for the case of an even number of moments

open access: yesVisnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika
The scalar moment problem was first introduced by T. J. Stieltjes in his work ``Recherches sur les fractions continues'' Annals of the Faculty of Sciences of Toulouse 8, 1--122, (1895).
Б. Е. Медіна-Ернандес
doaj   +1 more source

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