A. Kuznetsov

activity

20072023

most citedWiener-Hopf factorization and distribution of extrema for a family of Lévy processes

139 citations · 575 across the 36 of their papers we have counts for

collaborators

Showing 2015 · math.CAShow all

3 papers · 2 filters

math.CA2015★ 1 cited

A short proof of duality relations for hypergeometric functions

Runhuan Feng, Alexey Kuznetsov, Fenghao Yang

Identities involving finite sums of products of hypergeometric functions and their duals have been studied since 1930s. Recently Beukers and Jouhet have used an algebraic approach…

math.CA2015

Using $q$ -calculus to study $L D L^{T}$ factorization of a certain Vandermonde matrix

Alexey Kuznetsov

We use tools from $q$ -calculus to study $L D L^{T}$ decomposition of the Vandermonde matrix $V_{q}$ with coefficients $v_{i, j} = q^{ij}$ . We prove that the matrix $L$ is given as a product…

math.CA2015

Explicit Hermite-type eigenvectors of the discrete Fourier transform

Alexey Kuznetsov

The search for a canonical set of eigenvectors of the discrete Fourier transform has been ongoing for more than three decades. The goal is to find an orthogonal basis of eigenvecto…

A short proof of duality relations for hypergeometric functions

Using q-calculus to study LDLT factorization of a certain Vandermonde matrix

Explicit Hermite-type eigenvectors of the discrete Fourier transform

Using $q$ -calculus to study $L D L^{T}$ factorization of a certain Vandermonde matrix