A. Stokolos

activity

20242026

collaborators

4 papers

math.CA2026

Convolved Numbers of $k$ -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…

math.CV2025

Extremal polynomials for the Rogosinski--SzegÅ estimates of the third coefficient of nonnegative sine polynomials

Dmitriy Dmitrishin, Alexander Stokolos, Walter Trebels

In the class of normalized sine-polynomials $S (t),$ non-negative on $[0, I ¨ ],$ W.Rogosinski and G.SzegÅ 1950 considered a number of extremal problems and proved, among other things…

math.CA2025

Extremizers for the Rogosinski-SzegÃ¶ estimate of the second coefficient in nonnegative sine polynomials

Dmitriy Dmitrishin, Alexander Stokolos, Walter Trebels

For the class of sine polynomials $b_{1} sin t + b_{2} sin 2 t + ... + b_{N} sin N t, (b_{N} \neq = 0),$ which are nonnegative on $(0, I ¨ )$ , W. Rogosinski and G. SzegÃ¶ derived, among other things,…

math.CA2024

Some properties of the quadrinomials $p (z) = 1 + I^º (z + z^{N - 1}) + z^{N}$ and $q (z) = 1 + I^º (z - z^{N - 1}) - z^{N}$

Dmitriy Dmitrishin, Alexander Stokolos

We show that all the zeros of the quadrinomial $p (z) = 1 + I^º (z + z^{N - 1}) + z^{N}$ lie on the unit circle if and only if the inequalities \[ -1\leÎº\le 1\; (\mbox{ if $N$ is even}),\;\; -1\…

Convolved Numbers of k-sections of the Fibonacci Sequence: Properties, Consequences

Extremal polynomials for the Rogosinski--SzegÅ estimates of the third coefficient of nonnegative sine polynomials

Extremizers for the Rogosinski-SzegÃ¶ estimate of the second coefficient in nonnegative sine polynomials

Some properties of the quadrinomials p(z)=1+I^º(z+zN−1)+zN and q(z)=1+I^º(z−zN−1)−zN

Convolved Numbers of $k$ -sections of the Fibonacci Sequence: Properties, Consequences

Extremal polynomials for the Rogosinski--SzegÅ estimates of the third coefficient of nonnegative sine polynomials

Some properties of the quadrinomials $p (z) = 1 + I^º (z + z^{N - 1}) + z^{N}$ and $q (z) = 1 + I^º (z - z^{N - 1}) - z^{N}$