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Coefficient criteria for univalent and close-to-convex functions
(Graduate School of Information Sciences, Tohoku University, 2013)
In this paper, we provide sufficient conditions for constructing univalent analytic functions in the unit disk
jzj < 1. We motivate our results through several examples and compare with the previously known coefficient
...
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 ...
Third Hankel determinant for univalent starlike functions
(Springer, 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.
On the fifth coefficient for the class U(lambda)
(Union of Researchers of Macedonia, R. North Macedonia, 2021)
Trajectory-Based Interpretation of Laser Light Diffraction by a Sharp Edge
(Springer, 2018)
In the diffraction pattern produced by a half-plane sharp edge when it obstructs the passage of a laser beam, two characteristic regions are noticeable. There is a central region, where the diffraction of laser light appears ...
Common right factor of skew polynomials / The Resultants of Non-Commutative Polynomials
(Matematički vesnik, 2008)
Let R = K[x; σ] be a skew polynomial ring over a division ring K. Necessary and sufficient condition under which common right factor of two skew polynomials exists is estab-lished. It is shown that the existence of common ...
The self-consistent calculation of discrete and continuous states in spherical semiconductor quantum dots
(Physical Review B, 1997)
A self-consistent procedure for calculating the energy structure, wave functions, and charge distribution in spherically symmetric semiconductor quantum dots is presented that takes account of both bound and free-electron ...
A note on r-circulant matrices involving generalized Narayana numbers
(Journal of Mathematical Inequalities, 2023)
In order to further connect structured matrices and integer sequences, r-circulant matrices involving the generalized Narayana numbers are considered. Estimates for spectral norms bounds of such matrices are presented and ...
Univalency and convolution results associated with confluent hypergeometric functions
(Houston Journal of Mathematics, 2009)
Given the confluent hypergeometric functions Φ(a; c; z), we
place conditions on a and c to guarantee that zΦ(a; c; z) will be in two sub-
classes of univalent functions. In addition, we obtain conditions to obtain
some ...