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math.CA2019
A new identity for a sum of products of the generalized hypergeometric functions
Dmitrii Karp, Alexey Kuznetsov
Reduction formulas for sums of products of hypergeometric functions can be traced back to Euler. This topic has an intimate connection to summation and transformation formulas, con…
math.CA2017
Minimal Hermite-type eigenbasis of the discrete Fourier transform
Alexey Kuznetsov, Mateusz Kwaśnicki
There exist many ways to build an orthonormal basis of , consisting of the eigenvectors of the discrete Fourier transform (DFT). In this paper we show that there is o…