Results 21 to 30 of about 5,956,521 (263)
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2021 This paper contains an overview of recent results of Area-Nevanlinna classes in higher dimension. We here consider various aspects of this new interesting research area of analytic function theory in higher dimension (integral operations, embedding ...
Shamoyan, R.F.
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Finiteness of meromorphic functions on an annulus sharing four values regardless of multiplicity [PDF]
Mathematica Bohemica, 2020 This paper deals with the finiteness problem of meromorphic funtions on an annulus sharing four values regardless of multiplicity. We prove that if three admissible meromorphic functions $f_1$, $f_2$, $f_3$ on an annulus $\mathbb A({R_0})$ share four ...
Duc Quang Si, An Hai Tran
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Characteristic estimation of differential polynomials
Journal of Inequalities and Applications, 2021 In this paper, we give the characteristic estimation of a meromorphic function f with the differential polynomials f l ( f ( k ) ) n $f^{l}(f^{(k)})^{n}$ and obtain that T ( r , f ) ≤ M N ‾ ( r , 1 f l ( f ( k ) ) n − a ) + S ( r , f ) $$\begin{aligned ...
Min-Feng Chen, Zhi-Bo Huang
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Nevanlinna theory for tropical hypersurfaces [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2018 The tropical Nevanlinna theory is Nevanlinna theory for tropical functions or maps over the max-plux semiring by using the approach of complex analysis.
T. Cao, Jian-Hua Zheng
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Aspects of the screw function corresponding to the Riemann zeta‐function
Journal of the London Mathematical Society, Volume 108, Issue 4, Page 1448-1487, October 2023., 2023 Abstract We introduce a screw function corresponding to the Riemann zeta‐function and study its properties from various aspects. Typical results are several equivalent conditions for the Riemann hypothesis in terms of the screw function. One of them can be considered an analog of so‐called Weil's positivity or Li's criterion.
Masatoshi Suzuki
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Applied Mathematics in Science and Engineering, 2023 The authors address the complex oscillation problems of all solutions of homogenous linear differential equations with meromorphic coefficients. Sufficient conditions for estimating the growth of meromorphic solution with infinite order have been ...
Zhongwei He, Lingyun Gao
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Cancer Medicine, Volume 12, Issue 15, Page 16142-16162, August 2023., 2023 Abstract Background Breast cancer (BC) patients with a germline CHEK2 c.1100delC variant have an increased risk of contralateral BC (CBC) and worse BC‐specific survival (BCSS) compared to non‐carriers. Aim To assessed the associations of CHEK2 c.1100delC, radiotherapy, and systemic treatment with CBC risk and BCSS. Methods Analyses were based on 82,701
Anna Morra +249 more
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Composition operators on weighted Hilbert spaces of Dirichlet series
Journal of the London Mathematical Society, Volume 108, Issue 2, Page 837-868, August 2023., 2023 Abstract We study composition operators of characteristic zero on weighted Hilbert spaces of Dirichlet series. For this purpose, we demonstrate the existence of weighted mean counting functions associated with the Dirichlet series symbol, and provide a corresponding change of variables formula for the composition operator.
Athanasios Kouroupis +1 more
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PAMM, Volume 22, Issue 1, March 2023., 2023 Abstract Classical hardness of approximation (HA) is the phenomenon that, assuming P ≠ NP, one can easily compute an ϵ‐approximation to the solution of a discrete computational problem for ϵ > ϵ0 > 0, but for ϵ < ϵ0 – where ϵ0 is the approximation threshold – it becomes intractable. Recently, a similar yet more general phenomenon has been documented in
Laura Thesing, Anders C. Hansen
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Bulletin of the London Mathematical Society, Volume 55, Issue 1, Page 1-77, February 2023., 2023 Abstract An exponential polynomial is a finite linear sum of terms P(z)eQ(z)$P(z)e^{Q(z)}$, where P(z)$P(z)$ and Q(z)$Q(z)$ are polynomials. The early results on the value distribution of exponential polynomials can be traced back to Georg Pólya's paper published in 1920, while the latest results have come out in 2022.
Janne Heittokangas +3 more
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