Publications (68)
Simple and accurate approximations to the Riemann zeta function
Alexey Kuznetsov
We develop approximations for the Riemann zeta function that enable high-precision computation within the critical strip and other vertical strips. These approximations combine the…
Fractional Laplace operator and Meijer G-function
BartÅomiej Dyda, Alexey Kuznetsov, Mateusz KwaÅnicki
We significantly expand the number of functions whose image under the fractional Laplace operator can be computed explicitly. In particular, we show that the fractional Laplace ope…
On the convergence of the Gaver-Stehfest algorithm
Alexey Kuznetsov
The Gaver-Stehfest algorithm for numerical inversion of Laplace transform was developed in the late 1960s. Due to its simplicity and good performance it is becoming increasingly mo…
Extending the Meijer -function
Dmitrii Karp, Alexey Kuznetsov
By replacing the Euler gamma function by the Barnes double gamma function in the definition of the Meijer -function, we introduce a new family of special functions, which we cal…
First imaging spectroscopy observations of solar drift pair bursts
Alexey Kuznetsov, Eduard Kontar
Drift pairs are an unusual type of fine structure sometimes observed in dynamic spectra of solar radio emission. They appear as two identical short narrowband drifting stripes sepa…
Wiener-Hopf factorization and distribution of extrema for a family of Lévy processes
Alexey Kuznetsov
In this paper we introduce a ten-parameter family of Lévy processes for which we obtain Wiener-Hopf factors and distribution of the supremum process in semi-explicit form. This fa…