Bohr radii of elliptic regions

Kaptanoglu, HT
Sadik, N
We use Faber series to define the Bohr radius for a simply connected planar domain bounded by an analytic Jordan curve. We estimate the value of the Bohr radius for elliptic domains of small eccentricity and show that these domains do not exhibit Bohr phenomenon when the eccentricity is large. We obtain the classical Bohr radius as the eccentricity tends to 0.


sigma-meson and omega-rho mixing effects in omega ->pi(+)pi(-)gamma decay
Gokalp, A; Kucukarslan, A; Solmaz, S; Yılmaz, Osman (2003-08-01)
We calculate the branching ratio of omega --> pi(+)pi(-)gamma decay in a phenomenological framework in which the contributions of VMD, chiral loops, sigma-meson intermediate state amplitudes and the effects of omega-rho mixing axe considered. We conclude that the sigma-meson intermediate state amplitude-and omega-rho mixing make substantial contribution to the branching ratio.
Feature extraction of hidden oscillation in ECG data via multiple-FOD method
Purutçuoğlu Gazi, Vilda; Erkuş, Ekin Can (null; 2019-10-30)
Fourier transform (FT) is a non-parametric method which can be used to convert the time domain data into the frequency domain and can be used to find the periodicity of oscillations in time series datasets. In order to detect periodic-like outliers in time series data, a novel and promising method, named as the outlier detection via Fourier transform (FOD), has been developed. From our previous studies, it has been shown that FOD outperforms most of the commonly used approaches for the detection of outliers...
Number of pseudo-Anosov elements in the mapping class group of a four-holed sphere
Atalan, Ferihe; Korkmaz, Mustafa (2010-01-01)
We compute the growth series and the growth functions of reducible and pseudo-Anosov elements of the pure mapping class group of the sphere with four holes with respect to a certain generating set We prove that the ratio of the number of pseudo-Anosov elements to that of all elements in a ball with center at the identity tends to one as the radius of the ball tends to infinity
On the Poisson sum formula for the analysis of wave radiation and scattering from large finite arrays
Aydın Çivi, Hatice Özlem; Chou, HT (1999-05-01)
Poisson sum formulas have been previously presented and utilized in the literature [1]-[8] for converting a finite element-by-element array field summation into an alternative representation that exhibits improved convergence properties with a view toward more efficiently analyzing wave radiation/scattering from electrically large finite periodic arrays. However, different authors [1]-[6] appear to use two different versions of the Poisson sum formula; one of these explicitly shows the end-point discontinui...
Interference effects in the decay phi ->pi(0)pi(0)gamma and the coupling constant g(phi sigma gamma)
Gokalp, A; Yılmaz, Osman (2001-09-01)
We study the radiative decay phi --> pi (0)pi (0)gamma within the framework, of a phenomenological approach in which the contributions of sigma mesons, rho mesons, and f(0) mesons are considered. We analyze the interference effects between different contributions and, utilizing the experimental branching ratio for this decay, we estimate the coupling constant g(phi sigma gamma).
Citation Formats
H. Kaptanoglu and N. Sadik, “Bohr radii of elliptic regions,” RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, pp. 363–368, 2005, Accessed: 00, 2020. [Online]. Available: