72 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Ministry of Internal Affairs of the Russian FederationRU5 papers
- Institute of Applied MathematicsRU4 papers
- Far Eastern Branch of the Russian Academy of SciencesRU1 paper
- Syktyvkar State UniversityRU1 paper
- Tunis El Manar UniversityTN1 paper
- Tunis UniversityTN1 paper
- University of KairouanTN1 paper
- Voronezh State UniversityRU1 paper
9 papers
Gasparyan's Inequality
A. B. Pevnyi, S. M. Sitnik
We consider a new and simpler proof of an inequality of A.S. Gasparyan, which was originally derived in terms of complex algebraical objects --- multidimensional hyperdeterminants.…
Turán type inequalities for classical and generalized Mittag-Leffler functions
Sergei M. Sitnik, Khaled Mehrez
In this paper some Turán type inequalities for classical and generalized Mittag-Leffler functions are considered. The method is based on proving monotonicity for special ratio of s…
Proofs of some conjectures on monotonicity of ratios of Kummer, Gauss and generalized hypergeometric functions
Khaled Mehrez, Sergei M. Sitnik
In 1993 one of the authors formulated some conjectures on monotonicity of ratios for exponential series sections. They lead to more general conjecture on monotonicity of ratios of…
On Evaluation of Riesz Constants for Systems of Shifted Gaussians
E. A. Kiselev, L. A. Minin, I. Ya. Novikov +1
In this paper we study single-parametric systems of integer shifts of Gauss and Lorenz functions. In case of Cauchy--Lorenz system we explicitly calculate nod functions and prove t…
Log-convexity and log-concavity of hypergeometric-like functions
D. Karp, S. M. Sitnik
We find sufficient conditions for log-convexity and log-concavity for the functions of the forms , and $a\mapsto\sum{f_k}x^k…
Inequalities and monotonicity of ratios for generalized hypergeometric function
D. Karp, S. M. Sitnik
We find two-sided inequalities for the generalized hypergeometric function of the form with positive parameters restricted by certain additional conditions. Bot…
Asymptotic approximations for the first incomplete elliptic integral near logarithmic singularity
D. Karp, S. M. Sitnik
We find two convergent series expansions for Legendre's first incomplete elliptic integral in terms of recursively computed elementary functions. Both expansions are valid…
Series expansions for the third incomplete elliptic integral via partial fraction decompositions
D. Karp, A. Savenkova, S. M. Sitnik
We find convergent double series expansions for Legendre's third incomplete elliptic integral valid in overlapping subdomains of the unit square. Truncated expansions provide asymp…
Cloning of Qubits of a Quantum Computer
V. N. Dumachev, S. V. Orlov
A system of unitary transformations providing two optimal copies of an arbitrary input cubit is obtained. An algorithm based on classical Boolean algebra and allowing one to find a…