Results 71 to 80 of about 6,503,100 (217)
Karpatsʹkì Matematičnì Publìkacìï, 2021 The purpose of this paper is to obtain some sufficient conditions to determine the relation between a meromorphic function and an $L$-function when certain differential polynomial generated by them sharing a one degree polynomial. The main theorem of the
A. Banerjee, S. Bhattacharyya
doaj +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 +3 more
wiley +1 more source
Value Distribution for a Class of Small Functions in the Unit Disk
International Journal of Mathematics and Mathematical Sciences, 2011 If 𝑓 is a meromorphic function in the complex plane, R. Nevanlinna noted that its characteristic function 𝑇(𝑟,𝑓) could be used to categorize 𝑓 according to its rate of growth as |𝑧|=𝑟→∞. Later H.
Paul A. Gunsul
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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
Meromorphic Function of Fuzzy Complex Variables
Journal of New Theory, 2018 The fuzzy complex set is a fuzzy set whose values lies in the unit circle jzj · 1 in the complex plane. The Nevanlinna characteristic function playes an important role in the theory of entire and meromorphic function. In this paper we introduce
Arindam Jha
doaj
Nevanlinna Pair and Algebraic Hyperbolicity [PDF]
arXiv, 2021 We introduce the notion of the $\textit{Nevanlinna pair}$ for a pair $(X, D)$, where $X$ is a projective variety and $D$ is an effective Cartier divisor on $X$. This notion links and unifies the Nevanlinna theory, the complex hyperbolicity (Brody and Kobayashi hyperbolicity), the big Picard type extension theorem (more generally the Borel hyperbolicity)
arxiv
Extremal holomorphic maps and the symmetrised bidisc
, 2012 We introduce the class of $n$-extremal holomorphic maps, a class that generalises both finite Blaschke products and complex geodesics, and apply the notion to the finite interpolation problem for analytic functions from the open unit disc into the ...
Agler, Jim +2 more
core +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
The study of solutions for several systems of PDDEs with two complex variables
Demonstratio Mathematica, 2023 The purpose of this article is to describe the properties of the pair of solutions of several systems of Fermat-type partial differential difference equations.
Xu Yi Hui, Liu Xiao Lan, Xu Hong Yan
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Nevanlinna's five-value theorem on non-positively curved complete Kähler manifolds [PDF]
arXiv, 2023 Nevanlinna's five-value theorem is well-known as a famous theorem in value distribution theory, which asserts that two non-constant meromorphic functions on $\mathbb C$ are identical if they share five distinct values ignoring multiplicities in $\overline{\mathbb C}.$ The central goal of this paper is to generalize Nevanlinna's five-value theorem to ...
arxiv