Results 51 to 60 of about 958 (219)
Demonstratio MathematicaThe aim of the present article is to establish some fundamental theorems in Nevanlinna theory for holomorphic curves in the m-punctured complex plane crossing a finite set of fixed hyperplanes in P n(C) in general position.
Yang Liu
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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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Cancer Reports, Volume 8, Issue 8, August 2025.ABSTRACT Background Biallelic FANCM variants are linked to a Fanconi anemia‐like cancer predisposition syndrome, which includes early onset breast cancer, chemotherapy toxicity, and chromosome fragility. Additionally, heterozygous truncating variants have been linked to increased breast cancer risk. However, the published results have been inconsistent,
Sonja Sulkava +4 more
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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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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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Transforming Room Acoustics with Causality‐Driven Dual‐Function Passive Metamaterials
Advanced Materials Technologies, Volume 10, Issue 11, June 5, 2025.This work presents an dual acoustic metamaterial for rooms that achieves excellent broadband performance for both sound absorption and sound diffusion. This is done by using causality formulations linking the absorption of the passive system to its volume, yielding an optimal surface area ratio required for excellent sound absorption and while ...
Eric Ballestero +5 more
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Reproducing kernel spaces and the Bargmann-Schiffer lemma [PDF]
, 2020 We give a survey of the theory of reproducing kernel spaces of the kind defined by de Branges and Rovnyak and how they can be used to study Nevanlinna functions. In particular we give a proof of the Bargmann-Schiffer lemma.
Alpay, Daniel
core
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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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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Axioms, 2021 This article is to investigate the existence of entire solutions of several quadratic trinomial difference equations f(z+c)2+2αf(z)f(z+c)+f(z)2=eg(z), and the partial differential difference equations f(z+c)2+2αf(z+c)∂f(z)∂z1+∂f(z)∂z12=eg(z),f(z+c)2+2αf ...
Hong Li, Hongyan Xu
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