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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 ...
On harmonic combination of univalent functions
(Belgian Mathematical Society – Simon Stevin, 2012)
Geometrical and mechanical characteristics of deformed balance spring obtained by simulation study
(SAGE Publications Ltd, 2016)
This paper analyzes the geometrical and mechanical characteristics of balance springs, which have the most important influence on the oscillation rate of the balance wheel and, consequently, the most decisive effects on ...
Are Vauban's Geometrical Principles Applied in the Petrovaradin Fortress?
(Birkhauser Verlag AG, 2014)
There is a widespread opinion in different sources, ranging from popular to scientific, that the project of the Petrovaradin Fortress was conceived under the influence of the most important European military engineer and ...
Mathematical Principles and Optimal Design Solutions to Compensation for the Pendulum Temperature Dilatation
(Acta Polytechnica Hungarica, 2013)
The paper analyzes the effects of pendulum temperature dilatation on the timepiece running and accounts for the basic mathematical principles that neutralization of these detrimental effects are based upon. Both preliminary ...
Scaling Transform and Stretched States in Quantum Mechanics
(Springer New York LLC, 2016)
We consider the Husimi Q(q, p)-functions which are quantum quasiprobability distributions on the phase space. It is known that, under a scaling transform (q; p) - gt (aiiq; aiip), the Husimi function of any physical state ...
Description of classical and quantum interference in view of the concept of flow line
(Springer New York LLC, 2015)
Bohmian mechanics, a hydrodynamic formulation of quantum mechanics, relies on the concept of trajectory, which evolves in time in compliance with dynamical information conveyed by the wave function. Here, this appealing ...
Linear light amplifier and amplification of N-photon states
(Springer Science, 2019)
We consider a linear quantum amplifier consisting of NA two-level atoms and study the problem of
amplification of N-photon states. The N-photon states are associated with N-quantum states of the
harmonic oscillator. We ...
Partials sums and radius problem for certain class of conformal mappings
(Siberian Mathematical Journal, 2011)