51 citations · 505 across the 50 of their papers we have counts for
50 papers
Inverse Laplace and Mellin integral transforms modified for use in quantum communications
Gustavo Alvarez, Igor Kondrashuk
Integral transformations are useful mathematical tool to work out signals and wave-packets in electronic devices. They may be used in software protocols. Necessary knowledge may co…
DGLAP-BFKL duality from QCD to quantum computers
Igor Kondrashuk
DGLAP integro-differential equation can be solved by applying certain map in the complex plane of Mellin moments. It may be re-written as Schrödinger equation for particles. By…
A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals
Mauricio Diaz, Ivan Gonzalez, Igor Kondrashuk +1
Mellin-Barnes integral representation of one-loop off-shell box massless diagram is five-fold by construction. On the other hand, it is known from the year 1992 that it may be redu…
Evaluation of the second virial coefficient for the Mie potential using the method of brackets
Ivan Gonzalez, Igor Kondrashuk, Victor H. Moll +1
The second virial coefficient for the Mie potential is evaluated using the method of brackets. This method converts a definite integral into a series in the parameters of the probl…
Convergence Arguments to Bridge Cauchy and Matérn Covariance Functions
Tarik Faouzi, Emilio Procu, Igor Kondrashuk +1
The Matérn and the Generalized Cauchy families of covariance functions have a prominent role in spatial statistics as well as in a wealth of statistical applications. The Matérn fa…
Mellin-Barnes and the method of brackets
Ivan Gonzalez, Igor Kondrashuk, Victor H. Moll +1
The method of brackets is a method for the evaluation of definite integrals based on a small number of rules. This is employed here for the evaluation of Mellin-Barnes integral. Th…