silicon thin layers are deposited on glass substrates with the thickness of 103 nm, 147 nm and 197 nm. the layers are produced with electron gun evaporation method under ultra-high vacuum condition. the optical reectance and the transmittance of produced layers were measured by using spectrophotometer. the optical functions such as, real and imaginary part of refractive index, real and imaginar...

By introducing a new subcalss of p-valent functions with respect to (j, k)-symmetric points, we have obtained the integral representations and conditions for starlikeness by using differential subordination. Some already known results have been, incidentally, shown to be particular cases of the main results of the paper.

  , T For real numbers  and  such that 0 1      , we denote by   the class of normalized analytic functions which satisfy     Re f z     z   , T   , where denotes the open unit disk. We find some relationships involving functions in the class      . And we estimate the bounds of coefficients and solve Fekete-Szegö problem for functions in this class. Furthermore, we...

The purpose of this note is to develop facts about positive real transfer functions for discretetime linear systems, i.e., in the z plane. Positive real functions arise naturally as the impedance functions of passive continuous-time systems.