Results 11 to 20 of about 9,438,737 (154)

On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane [PDF]

open access: yesThe Ramanujan Journal, 2008
Accepted by The Ramanujan Journal on the 26th October 2005; galley proof version updated on the 9th Novermber 2007; deleted footnote 2, page 2 and reference 33 in the final galley ...
Chiang, Yik-Man MATH, Feng, Shao-Ji
semanticscholar   +6 more sources

On the Nevanlinna characteristic of \(f(qz)\) and its applications

open access: yesJournal of Mathematical Analysis and Applications, 2010
The authors investigate the relation between the Nevanlinna characteristic functions \(T\big(r,f(qz)\big)\) and \(T\big(r,f(z)\big)\) for a zero-order meromorphic function \(f\) and a non-zero constant \(q\). It is shown that \(T\big(r,f(qz)\big)=\big(1+o(1)\big)T\big(r,f(z)\big)\) for all \(r\) in a set of lower logarithmic density 1. This estimate is
Zhang, Jilong, Korhonen, Risto
openaire   +3 more sources

Constrained characteristic functions, multivariable interpolation, and invariant subspaces

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we present a functional model theorem for completely non-coisometric n-tuples of operators in the noncommutative variety V f , φ , I ( H ) $\mathcal{V}_{f,\varphi,\mathcal{I}}(\mathcal{H})$ in terms of constrained characteristic functions.
Jian Hu, Maofa Wang, Wei Wang
doaj   +2 more sources

Kernels with complete Nevanlinna-Pick factors and the characteristic function

open access: yesJournal of Operator Theory, 2023
We present a unified framework for deriving characteristic functions for kernels that allow a complete Nevanlinna-Pick factor. Notably, our approach not only encapsulates all previously documented cases but also achieves a generalization, thereby expanding the concept of the characteristic function substantially.
Bhattacharyya, Tirthankar, Jindal, Abhay
openaire   +3 more sources

On Interpolation in the Class of Analytic Functions in the Unit Disk with the Nevanlinna Characteristic from Lp-spaces

open access: yesJournal of Siberian Federal University. Mathematics & Physics, 2016
Summary: In this paper we solve the interpolation problem for the class of analytic functions in the unit disk with the Nevanlinna characteristic from Lp-spaces under the condition that interpolation nodes are contained in a finite union of Stolz angles.
E. G. Rodikova   +1 more
openaire   +3 more sources

On the Characteristic Operator of an Integral Equation with a Nevanlinna Measure in the Infinite-Dimensional Case

open access: yesZurnal matematiceskoj fiziki, analiza, geometrii, 2014
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V. Bruk
openaire   +3 more sources

Aspects of the screw function corresponding to the Riemann zeta‐function

open access: yesJournal 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
wiley   +1 more source

Association of the CHEK2 c.1100delC variant, radiotherapy, and systemic treatment with contralateral breast cancer risk and breast cancer‐specific survival

open access: yesCancer 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
wiley   +1 more source

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