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Nevanlinna theory for the difference operator [PDF]
, 2005 19 ...
Rod Halburd, Risto Korhonen
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Difference Nevanlinna theories with vanishing and infinite periods [PDF]
Michigan Mathematical Journal, 2017 27 pages, 1 figure. Some minor changes.
Yik‐Man Chiang, Xu‐Dan Luo
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Nevanlinna analytic continuation for Migdal–Eliashberg theory [PDF]
Computational Materials TodayIn this work, we present a method to reconstruct real-frequency properties from analytically continued causal Green’s functions within the framework of Migdal–Eliashberg (ME) theory for superconductivity.
D.M. Khodachenko +4 more
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Normal families and the Nevanlinna theory [PDF]
Acta Mathematica, 1969 1. Let ~ be a family of nonconstant holomorphic functions defined in the disc A = {Izl < 1}. :~ is said to be normal if every sequence of functions in :~ either contains a subuniformly convergent subsequence, or contains a subsequence which converges subuniformly to the constant co.
David Drasin
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New results on the existences of solutions of the Dirichlet problem with respect to the Schrödinger-prey operator and their applications [PDF]
Journal of Inequalities and Applications, 2017 In this paper, by using the Beurling-Nevanlinna type inequality we obtain new results on the existence of solutions of the Dirichlet problem with respect to the Schrödinger-prey operator.
Xu Chen, Lei Zhang
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A note on $p$-adic Nevanlinna theory [PDF]
Proceedings of the American Mathematical Society, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Min Ru
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On the birth of the Nevanlinna theory [PDF]
Annales Academiae Scientiarum Fennicae Series A I Mathematica, 1982 Olli Lehto
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Some achievements of Nevanlinna theory [PDF]
Annales Academiae Scientiarum Fennicae Series A I Mathematica, 1982 W. K. Hayman
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Tropical Nevanlinna theory and ultra-discrete equations
International Mathematics Research Notices, 2007 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.
R. G. Halburd, N. J. Southall
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Nevanlinna Theory and Rational Points
, 1996 S. Lang conjectured in 1974 that a hyperbolic algebraic variety defined over a number field has only finitely many rational points, and its analogue over function fields. We discuss the Nevanlinna-Cartan theory over function fields of arbitrary dimension and apply it for Diophantine property of hyperbolic projective hypersurfaces (homogeneous ...
Junjirō Noguchi
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