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]
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
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
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Constrained characteristic functions, multivariable interpolation, and invariant subspaces
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
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
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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
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V. Bruk
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Aspects of the screw function corresponding to the Riemann zeta‐function
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
Errata and comments to “A connection between the Nevanlinna characteristic and behavior on a sequence of boundary arcs for meromorphic functions in the disk” [PDF]
D. Rung
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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

