Results 71 to 80 of about 5,956,521 (263)
Entire function sharing two polynomials with its $k$th derivative [PDF]
Mathematica BohemicaWe 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
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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
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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
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Curves in Hilbert modular varieties
, 2018 We prove a boundedness-theorem for families of abelian varieties with real multiplication. More generally, we study curves in Hilbert modular varieties from the point of view of the Green Griffiths-Lang conjecture claiming that entire curves in complex ...
Rousseau, Erwan, Touzet, Frédéric
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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
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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
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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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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
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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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On applications of Herglotz-Nevanlinna functions in material sciences, I: classical theory and applications of sum rules [PDF]
, 2022 Annemarie Luger, Miao‐Jung Yvonne Ou
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