14 citations · 52 across the 27 of their papers we have counts for
30 papers
Convolved Numbers of -sections of the Fibonacci Sequence: Properties, Consequences
Vitaly M. Khamitov, Dmitriy Dmitrishin, Alexander Stokolos +1
One possible data encryption scheme is related to stream ciphers, which use a sufficiently long pseudo-random sequence. To increase the cryptographic strength of the cipher, linear…
Extremal polynomials for the Rogosinski--Szegő estimates of the third coefficient of nonnegative sine polynomials
Dmitriy Dmitrishin, Alexander Stokolos, Walter Trebels
In the class of normalized sine-polynomials non-negative on W.Rogosinski and G.Szegő 1950 considered a number of extremal problems and proved, among other things,…
Some properties of the quadrinomials and
Dmitriy Dmitrishin, Alexander Stokolos
We show that all the zeros of the quadrinomial lie on the unit circle if and only if the inequalities \[ -1\leκ\le 1\; (\mbox{ if is even}),\;\; -1\le…
Extremizers for the Rogosinski-Szegö estimate of the second coefficient in nonnegative sine polynomials
Dmitriy Dmitrishin, Alexander Stokolos, Walter Trebels
For the class of sine polynomials which are nonnegative on , W. Rogosinski and G. Szegö derived, among other things, ex…
An extremal problem for odd univalent polynomials
Dmitriy Dmitrishin, Daniel Gray, Alexander Stokolos +1
For the univalent polynomials with real coefficients and normalization \(a_1 = 1\) we solve the extremal problem \[ \min_{a_j:\,a_1=1} \…
Koebe's theorem for trinomials with fold symmetry
Dmitriy Dmitrishin, Daniel Gray, Alexander Stokolos
The Koebe problem for univalent polynomials with real coefficients is fully solved only for trinomials, which means that in this case the Koebe radius and the extremal polynomial (…