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Coefficient characterization for certain classes of univalent functions
(Bulletin of the Belgian Mathematical Society - Simon Stevin, 2009)
Necessary and sufficient coefficient conditions are established for certain
classes of analytic functions to be univalent in the unit disk. In addition,
characterizations and convolution results are established for these ...
On the extension of the Erdös-Mordell type inequalities
(Mathematical Inequalities & Applications, 2014)
We discuss the extension of inequality R_A >= c/a * r_b + b/a * r_c to the plane of triangle ABC. Based on the obtained extension, in regard to all three vertices of the triangle, we get the extension of Erdos-Mordell ...
Managing rail service life
(Croatian Metallurgical Society, 2014)
The service life Of tails depends especially on the operational loads and speeds on the railway lines; as well as on the rail maintenance policy. There are multiple aspects of rail maintenance optimization. The following ...
On the difference of coefficients of univalent functions
(Faculty of Sciences and Mathematics, University of Niš, Serbia, 2021)
Hankel determinants of second and third order for the class S of univalent functions
(Slovak Academy of Sciences, Mathematical Institute, 2021)
In this paper we give the upper bounds of the Hankel determinants of the second and
third order for the class S of univalent functions in the unit disc.
Electromagnetic energy flow lines as possible paths of photons
(Physica Scripta, 2009)
Motivated by recent experiments where interference patterns behind a grating are obtained by accumulating single photon events, we provide here an electromagnetic energy flow-line description to explain the emergence of ...
Negative binomial states for the pseudoharmonic oscillator
(Physica Scripta, 2013)
In this paper we examine some of the statistical properties of the negative binomial states (NBSs) that are a superposition of the number of states with appropriately chosen coefficients, but on the basis of Fock-vectors, ...
Subtle inconsistencies in the straightforward definition of the logarithmic function of annihilation and creation operators and a way to avoid them
(Journal of Physics A-Mathematical and Theoretical, 2009)
Using the resolution of identity spanned by coherent states of the harmonic oscillator, any entire function of the creation and the annihilation operators and its action on a vector in Hilbert space can be defined directly ...
Nonsingular acyclic matrices with full number of P-vertices
(Linear & Multilinear Algebra, 2013)
We classify the trees for which there is a nonsingular matrix where each vertex is a P-vertex. In particular, we show that such trees have an even number of vertices. Both results provide answers to questions proposed by ...
Evolution of the wave function of an atom hit by a photon in a three-grating interferometer
(Physica Scripta, 2009)
In 1995, Chapman et al (1995 Phys. Rev. Lett. 75 2783) showed experimentally that the interference contrast in a three-grating atom interferometer does not vanish in the presence of scattering events with photons, as ...