Results 71 to 80 of about 7,023 (242)

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

Factorizations induced by complete Nevanlinna-Pick factors

, 2018
We prove a factorization theorem for reproducing kernel Hilbert spaces whose kernel has a normalized complete Nevanlinna-Pick factor. This result relates the functions in the original space to pointwise multipliers determined by the Nevanlinna-Pick ...
Aleman, Alexandru, Hartz, Michael, McCarthy, John E., Richter, Stefan   +3 more
core   +1 more source

Preface to the special issue on “Old records for new knowledge”

Geoscience Data Journal, Volume 11, Issue 4, Page 357-364, October 2024.
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, Hisashi Hayakawa, Victoria Slonosky, Richard I. Crouthamel   +3 more
wiley   +1 more source

Nevanlinna’s Five Values Theorem on Annuli

Mathematics, 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

Entire and meromorphic solutions for systems of the differential difference equations

Demonstratio Mathematica, 2022
With the help of the Nevanlinna theory of meromorphic functions, the purpose of this article is to describe the existence and the forms of transcendental entire and meromorphic solutions for several systems of the quadratic trinomial functional equations:
Xu Hong Yan, Li Hong, Ding Xin
doaj   +1 more source

On the structure of Nevanlinna measures

Mathematische Nachrichten, Volume 297, Issue 7, Page 2488-2516, July 2024.
Abstract In this paper, we study the structural properties of Nevanlinna measures, that is, Borel measures that arise in the integral representation of Herglotz–Nevanlinna functions. In particular, we give a characterization of these measures in terms of their Fourier transform, characterize measures supported on hyperplanes including extremal measures,
Mitja Nedic, Eero Saksman
wiley   +1 more source

Entire function sharing two polynomials with its $k$th derivative [PDF]

Mathematica Bohemica
We investigate the uniqueness problem of entire functions that share two polynomials with their $k$th derivatives and obtain some results which improve and generalize the recent result due to Lü and Yi (2011).
Sujoy Majumder, Nabadwip Sarkar
doaj   +1 more source

Nevanlinna theory via holomorphic forms

Pacific Journal of Mathematics, 2022
This is a final version, prepared for publication in Pacific Journal of ...
Dong, Xianjing, Yang, Shuangshuang
openaire   +2 more sources

Wetzel families and the continuum

Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.
Abstract We provide answers to a question brought up by Erdős about the construction of Wetzel families in the absence of the continuum hypothesis: A Wetzel family is a family F$\mathcal {F}$ of entire functions on the complex plane which pointwise assumes fewer than |F|$\vert \mathcal {F} \vert$ values.
Jonathan Schilhan, Thilo Weinert
wiley   +1 more source

Shift invariant subspaces in growth spaces and sets of finite entropy

Journal 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